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value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> 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<option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-2-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control 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value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-3-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><div id="multi-line-plus"> <a href="#"><span class="glyphicon glyphicon-plus" aria-hidden="true"></span> add line</a> </div></div> </div> </div> <div class="row"> <div class="col-xs-12 form-inline"> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-test" style="visibility: hidden; position: fixed;"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label title="search for Articles in Journals"> <input type="checkbox" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label title="search for arXiv Preprints"> <input type="checkbox" class="form-control" value="p" 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form-control" type="text" name="q" value="ut:Fermat quotients" aria-label="Search for documents" placeholder="Search for documents" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ab:</span><span> </span>review text</a></li> <li><a href="#"><span class="token item">an:</span><span> </span>zbmath id</a></li> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere</a></li> <li><a href="#"><span class="token item">au:</span><span> </span>contributor name</a></li> <li><a href="#"><span class="token item">br:</span><span> </span>biographic reference name</a></li> <li><a href="#"><span class="token item">cc:</span><span> </span>msc title</a></li> <li><a href="#"><span class="token item">dt:</span><span> </span>document type</a></li> <li><a href="#"><span class="token item">doi:</span><span> </span>doi</a></li> <li><a href="#"><span class="token item">en:</span><span> </span>external id</a></li> <li><a href="#"><span class="token item">la:</span><span> </span>language</a></li> <li><a href="#"><span class="token item">pu:</span><span> </span>publisher</a></li> <li><a href="#"><span class="token item">py:</span><span> </span>year</a></li> <li><a href="#"><span class="token item">rv:</span><span> </span>reviewer name</a></li> <li><a href="#"><span class="token item">so:</span><span> </span>source</a></li> <li><a href="#"><span class="token item">sw:</span><span> </span>software name</a></li> <li><a href="#"><span class="token item">ti:</span><span> </span>title</a></li> <li><a href="#"><span class="token item">ut:</span><span> </span>keyword</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a <span class="item">&</span> b </span><span> </span>logical and (default)</a></li> <li><a href="#"><span class="token">a <span class="item">|</span> b </span><span> </span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab </span><span> </span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span> </span><span> </span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab c<span class="item">"</span></span><span> </span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab c<span class="item">)</span></span><span> </span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Geometry">Geometry</a></span> <span class="search-explanation" role="cell" role="cell">Search for the term <em>Geometry</em> in <strong>any</strong> field. 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G.</a>; <a href="/authors/shnidman.ari" title="Author Profile">Shnidman, Ari</a></div> <h3 class="title"> <a href="/1540.11084"><strong>Experiments with Ceresa classes of cyclic Fermat quotients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1540.11084">Zbl 1540.11084</a> </h3> <div class="source"> <a href="/serials/623" title="Journal Profile">Proc. Am. Math. 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(2022)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> <a class="mono" href="/classification/?q=cc%3A11L40" title="Estimates on character sums">11L40</a> <a class="mono" href="/classification/?q=cc%3A11D41" title="Higher degree equations; Fermat’s equation">11D41</a> <a class="mono" href="/classification/?q=cc%3A11N69" title="Distribution of integers in special residue classes">11N69</a> <a class="mono" href="/classification/?q=cc%3A11N25" title="Distribution of integers with specified multiplicative constraints">11N25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1504.11008" data-ciurl="/ci/07641333" data-biburl="/bibtex/07641333.bib" data-amsurl="/amsrefs/07641333.bib" data-xmlurl="/xml/07641333.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07641333.pdf" title="Zbl 1504.11008 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.chaos.2022.112335" aria-label="DOI for “Statistical distribution of Fermat quotients”" title="10.1016/j.chaos.2022.112335">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7313072" value="7313072" aria-label="mark item Zbl 1454.83121"></div> <div class="author"><a href="/authors/anderson.lara-b" title="Author Profile">Anderson, Lara B.</a>; <a href="/authors/gray.james-a" title="Author Profile">Gray, James</a>; <a href="/authors/lukas.andre" title="Author Profile">Lukas, Andre</a>; <a href="/authors/wang.juntao" title="Author Profile">Wang, Juntao</a></div> <h3 class="title"> <a href="/1454.83121"><strong>Chern-Simons invariants and heterotic superpotentials.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1454.83121">Zbl 1454.83121</a> </h3> <div class="source"> <a href="/serials/2654" title="Journal Profile">J. High Energy Phys.</a> <a href="/?q=in%3A458982" title="Articles in this Issue">2020, No. 9, Paper No. 141, 37 p. (2020)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A83E30" title="String and superstring theories in gravitational theory">83E30</a> <a class="mono" href="/classification/?q=cc%3A58J28" title="Eta-invariants, Chern-Simons invariants">58J28</a> <a class="mono" href="/classification/?q=cc%3A81T60" title="Supersymmetric field theories in quantum mechanics">81T60</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1454.83121" data-ciurl="/ci/07313072" data-biburl="/bibtex/07313072.bib" data-amsurl="/amsrefs/07313072.bib" data-xmlurl="/xml/07313072.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07313072.pdf" title="Zbl 1454.83121 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/JHEP09(2020)141" aria-label="DOI for “Chern-Simons invariants and heterotic superpotentials”" title="10.1007/JHEP09(2020)141">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2006.03082"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7220344" value="7220344" aria-label="mark item Zbl 1461.11006"></div> <div class="author"><a href="/authors/liu.jicai" title="Author Profile">Liu, Ji-Cai</a></div> <h3 class="title"> <a href="/1461.11006"><strong>Proof of Sun’s conjectural supercongruence involving Catalan numbers.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1461.11006">Zbl 1461.11006</a> </h3> <div class="source"> <a href="/serials/9658" title="Journal Profile">Electron. Res. Arch.</a> <a href="/?q=in%3A450731" title="Articles in this Issue">28, No. 2, 1023-1030 (2020)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> <a class="mono" href="/classification/?q=cc%3A11B65" title="Binomial coefficients; factorials; \(q\)-identities">11B65</a> <a class="mono" href="/classification/?q=cc%3A05A19" title="Combinatorial identities, bijective combinatorics">05A19</a> <a class="mono" href="/classification/?q=cc%3A33C20" title="Generalized hypergeometric series, \({}_pF_q\)">33C20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1461.11006" data-ciurl="/ci/07220344" data-biburl="/bibtex/07220344.bib" data-amsurl="/amsrefs/07220344.bib" data-xmlurl="/xml/07220344.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07220344.pdf" title="Zbl 1461.11006 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3934/era.2020054" aria-label="DOI for “Proof of Sun's conjectural supercongruence involving Catalan numbers”" title="10.3934/era.2020054">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2001.03941"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7234027" value="7234027" aria-label="mark item Zbl 1449.94058"></div> <div class="author"><a href="/authors/du.xiaoni" title="Author Profile">Du, Xiaoni</a>; <a href="/authors/wang.lianhua" title="Author Profile">Wang, Lianhua</a>; <a href="/authors/li.li.176" title="Author Profile">Li, Li</a></div> <h3 class="title"> <a href="/1449.94058"><strong>Trace representation of \(r\)-ary sequences derived from Euler quotients with prime-power modulus.</strong></a> <i>(Chinese. English summary)</i> <a class="label nowrap" href="/1449.94058">Zbl 1449.94058</a> </h3> <div class="source"> <a href="/serials/2764" title="Journal Profile">J. Northwest Norm. Univ., Nat. Sci.</a> <a href="/?q=in%3A451902" title="Articles in this Issue">55, No. 5, 1-5 (2019)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A94A60" title="Cryptography">94A60</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1449.94058" data-ciurl="/ci/07234027" data-biburl="/bibtex/07234027.bib" data-amsurl="/amsrefs/07234027.bib" data-xmlurl="/xml/07234027.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07234027.pdf" title="Zbl 1449.94058 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.16783/j.cnki.nwnuz.2019.05.001" aria-label="DOI for “Trace representation of \(r\)-ary sequences derived from Euler quotients with prime-power modulus”" title="10.16783/j.cnki.nwnuz.2019.05.001">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7101857" value="7101857" aria-label="mark item Zbl 1464.11115"></div> <div class="author"><a href="/authors/gras.georges" title="Author Profile">Gras, Georges</a></div> <h3 class="title"> <a href="/1464.11115"><strong>Ideal norms in the cyclotomic tower and Greenberg’s conjecture. (Normes d’idéaux dans la tour cyclotomique et conjecture de Greenberg.)</strong></a> <i>(French. English summary)</i> <a class="label nowrap" href="/1464.11115">Zbl 1464.11115</a> </h3> <div class="source"> <a href="/serials/7967" title="Journal Profile">Ann. Math. Qué.</a> <a href="/?q=in%3A438063" title="Articles in this Issue">43, No. 2, 249-280 (2019)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11R23" title="Iwasawa theory">11R23</a> <a class="mono" href="/classification/?q=cc%3A11R29" title="Class numbers, class groups, discriminants">11R29</a> <a class="mono" href="/classification/?q=cc%3A11R37" title="Class field theory">11R37</a> <a class="mono" href="/classification/?q=cc%3A11Y40" title="Algebraic number theory computations">11Y40</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1464.11115" data-ciurl="/ci/07101857" data-biburl="/bibtex/07101857.bib" data-amsurl="/amsrefs/07101857.bib" data-xmlurl="/xml/07101857.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07101857.pdf" title="Zbl 1464.11115 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s40316-018-0108-3" aria-label="DOI for “Ideal norms in the cyclotomic tower and Greenberg's conjecture”" title="10.1007/s40316-018-0108-3">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1706.08784"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7021525" value="7021525" aria-label="mark item Zbl 1481.94127"></div> <div class="author"><a href="/authors/wu.chenhuang" title="Author Profile">Wu, Chenhuang</a>; <a href="/authors/xu.chunxiang" title="Author Profile">Xu, Chunxiang</a>; <a href="/authors/chen.zhixiong.1" title="Author Profile">Chen, Zhixiong</a>; <a href="/authors/ke.pinhui" title="Author Profile">Ke, Pinhui</a></div> <h3 class="title"> <a href="/1481.94127"><strong>On error linear complexity of new generalized cyclotomic binary sequences of period \(p^2\).</strong></a> <i>(English)</i> <a class="label nowrap" href="/1481.94127">Zbl 1481.94127</a> </h3> <div class="source"> <a href="/serials/113" title="Journal Profile">Inf. Process. Lett.</a> <a href="/?q=in%3A427986" title="Articles in this Issue">144, 9-15 (2019)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A94A60" title="Cryptography">94A60</a> <a class="mono" href="/classification/?q=cc%3A94A55" title="Shift register sequences and sequences over finite alphabets in information and communication theory">94A55</a> <a class="mono" href="/classification/?q=cc%3A11T71" title="Algebraic coding theory; cryptography (number-theoretic aspects)">11T71</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1481.94127" data-ciurl="/ci/07021525" data-biburl="/bibtex/07021525.bib" data-amsurl="/amsrefs/07021525.bib" data-xmlurl="/xml/07021525.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07021525.pdf" title="Zbl 1481.94127 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.ipl.2018.08.006" aria-label="DOI for “On error linear complexity of new generalized cyclotomic binary sequences of period \(p^2\)”" title="10.1016/j.ipl.2018.08.006">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1711.06063"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6949431" value="6949431" aria-label="mark item Zbl 1397.14049"></div> <div class="author"><a href="/authors/yui.noriko" title="Author Profile">Yui, Noriko</a></div> <h3 class="title"> <a href="/1397.14049"><strong>The modularity/automorphy of Calabi-Yau varieties of CM type.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1397.14049">Zbl 1397.14049</a> </h3> <div class="source"> Li, Si (ed.) et al., String-Math 2015. Proceedings of the conference, Tsinghua Sanya International Mathematics Forum in Sanya, China, December 31, 2015 – January 4, 2016. Providence, RI: American Mathematical Society (AMS); Boston, MA: International Press (ISBN 978-1-4704-2951-5/hbk; 978-1-4704-4276-7/ebook). Proceedings of Symposia in Pure Mathematics 96, 265-297 (2017). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A14J32" title="Calabi-Yau manifolds (algebro-geometric aspects)">14J32</a> <a class="mono" href="/classification/?q=cc%3A14J28" title="\(K3\) surfaces and Enriques surfaces">14J28</a> <a class="mono" href="/classification/?q=cc%3A14J33" title="Mirror symmetry (algebro-geometric aspects)">14J33</a> <a class="mono" href="/classification/?q=cc%3A14J20" title="Arithmetic ground fields for surfaces or higher-dimensional varieties">14J20</a> <a class="mono" href="/classification/?q=cc%3A14K22" title="Complex multiplication and abelian varieties">14K22</a> <a class="mono" href="/classification/?q=cc%3A11G40" title="\(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture">11G40</a> <a class="mono" href="/classification/?q=cc%3A11G42" title="Arithmetic mirror symmetry">11G42</a> <a class="mono" href="/classification/?q=cc%3A11F80" title="Galois representations">11F80</a> <a class="mono" href="/classification/?q=cc%3A11F70" title="Representation-theoretic methods; automorphic representations over local and global fields">11F70</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1397.14049" data-ciurl="/ci/06949431" data-biburl="/bibtex/06949431.bib" data-amsurl="/amsrefs/06949431.bib" data-xmlurl="/xml/06949431.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06949431.pdf" title="Zbl 1397.14049 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6833072" value="6833072" aria-label="mark item Zbl 1427.11116"></div> <div class="author"><a href="/authors/gras.georges" title="Author Profile">Gras, Georges</a></div> <h3 class="title"> <a href="/1427.11116"><strong>\(p\)-adic approach of Greenberg’s conjecture for totally real fields. (Approche \(p\)-adique de la conjecture de Greenberg pour les corps totalement réels.)</strong></a> <i>(French. English summary)</i> <a class="label nowrap" href="/1427.11116">Zbl 1427.11116</a> </h3> <div class="source"> <a href="/serials/1985" title="Journal Profile">Ann. Math. Blaise Pascal</a> <a href="/?q=in%3A372459" title="Articles in this Issue">24, No. 2, 235-291 (2017)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11R23" title="Iwasawa theory">11R23</a> <a class="mono" href="/classification/?q=cc%3A11R29" title="Class numbers, class groups, discriminants">11R29</a> <a class="mono" href="/classification/?q=cc%3A11R37" title="Class field theory">11R37</a> <a class="mono" href="/classification/?q=cc%3A11Y40" title="Algebraic number theory computations">11Y40</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1427.11116" data-ciurl="/ci/06833072" data-biburl="/bibtex/06833072.bib" data-amsurl="/amsrefs/06833072.bib" data-xmlurl="/xml/06833072.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06833072.pdf" title="Zbl 1427.11116 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.5802/ambp.370" aria-label="DOI for “\(p\)-adic approach of Greenberg's conjecture for totally real fields”" title="10.5802/ambp.370">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1611.09592"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6751813" value="6751813" aria-label="mark item Zbl 1388.11001"></div> <div class="author"><a href="/authors/buium.alexandru" title="Author Profile">Buium, Alexandru</a></div> <h3 class="title"> <a href="/1388.11001"><strong>Foundations of arithmetic differential geometry.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1388.11001">Zbl 1388.11001</a> </h3> <div class="source"> <a href="/serials/4094" title="Series Profile">Mathematical Surveys and Monographs</a> 222. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3623-0/hbk; 978-1-4704-4089-3/ebook). x, 344 p. (2017). </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A11792">Elmar Große-Klönne (Berlin)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11-02" title="Research exposition (monographs, survey articles) pertaining to number theory">11-02</a> <a class="mono" href="/classification/?q=cc%3A11E57" title="Classical groups">11E57</a> <a class="mono" href="/classification/?q=cc%3A11E08" title="Quadratic forms over local rings and fields">11E08</a> <a class="mono" href="/classification/?q=cc%3A11E95" title="\(p\)-adic theory">11E95</a> <a class="mono" href="/classification/?q=cc%3A11F85" title="\(p\)-adic theory, local fields">11F85</a> <a class="mono" href="/classification/?q=cc%3A14G20" title="Local ground fields in algebraic geometry">14G20</a> <a class="mono" href="/classification/?q=cc%3A53C05" title="Connections (general theory)">53C05</a> <a class="mono" href="/classification/?q=cc%3A53C21" title="Methods of global Riemannian geometry, including PDE methods; curvature restrictions">53C21</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1388.11001" data-ciurl="/ci/06751813" data-biburl="/bibtex/06751813.bib" data-amsurl="/amsrefs/06751813.bib" data-xmlurl="/xml/06751813.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06751813.pdf" title="Zbl 1388.11001 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/surv/222" aria-label="DOI for “Foundations of arithmetic differential geometry”" title="10.1090/surv/222">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://semanticscholar.org/paper/520c1f20b0f7e4bdefc8f5ec1e78ca47399fcc3f" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6746871" value="6746871" aria-label="mark item Zbl 1374.94782"></div> <div class="author"><a href="/authors/du.xiaoni" title="Author Profile">Du, Xiaoni</a>; <a href="/authors/li.zhixia" title="Author Profile">Li, Zhixia</a>; <a href="/authors/wan.yunqi" title="Author Profile">Wan, Yunqi</a>; <a href="/authors/li.xiaodan" title="Author Profile">Li, Xiaodan</a></div> <h3 class="title"> <a href="/1374.94782"><strong>Trace representation of binary sequences derived from Euler quotients.</strong></a> <i>(Chinese. English summary)</i> <a class="label nowrap" href="/1374.94782">Zbl 1374.94782</a> </h3> <div class="source"> <a href="/serials/2764" title="Journal Profile">J. Northwest Norm. Univ., Nat. Sci.</a> <a href="/?q=in%3A367965" title="Articles in this Issue">53, No. 1, 18-21 (2017)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A94A60" title="Cryptography">94A60</a> <a class="mono" href="/classification/?q=cc%3A11T71" title="Algebraic coding theory; cryptography (number-theoretic aspects)">11T71</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1374.94782" data-ciurl="/ci/06746871" data-biburl="/bibtex/06746871.bib" data-amsurl="/amsrefs/06746871.bib" data-xmlurl="/xml/06746871.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06746871.pdf" title="Zbl 1374.94782 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.16783/j.cnki.nwnuz.2017.01.004" aria-label="DOI for “Trace representation of binary sequences derived from Euler quotients”" title="10.16783/j.cnki.nwnuz.2017.01.004">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6862338" value="6862338" aria-label="mark item Zbl 1407.11094"></div> <div class="author"><a href="/authors/gras.georges" title="Author Profile">Gras, Georges</a></div> <h3 class="title"> <a href="/1407.11094"><strong>Probabilistic study of Fermats quotients. (Étude probabiliste des quotients de Fermat.)</strong></a> <i>(French. English summary)</i> <a class="label nowrap" href="/1407.11094">Zbl 1407.11094</a> </h3> <div class="source"> <a href="/serials/423" title="Journal Profile">Funct. Approximatio, Comment. Math.</a> <a href="/?q=in%3A385171" title="Articles in this Issue">54, No. 1, 115-140 (2016)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11K65" title="Arithmetic functions in probabilistic number theory">11K65</a> <a class="mono" href="/classification/?q=cc%3A11R18" title="Cyclotomic extensions">11R18</a> <a class="mono" href="/classification/?q=cc%3A11N37" title="Asymptotic results on arithmetic functions">11N37</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1407.11094" data-ciurl="/ci/06862338" data-biburl="/bibtex/06862338.bib" data-amsurl="/amsrefs/06862338.bib" data-xmlurl="/xml/06862338.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06862338.pdf" title="Zbl 1407.11094 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.7169/facm/2016.54.1.9" aria-label="DOI for “Probabilistic study of Fermats quotients”" title="10.7169/facm/2016.54.1.9">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1409.2815"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="https://projecteuclid.org/euclid.facm/1458656166" title="Full Text at Project Euclid">Euclid</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6652411" value="6652411" aria-label="mark item Zbl 1353.94027"></div> <div class="author"><a href="/authors/du.xiaoni" title="Author Profile">Du, Xiaoni</a>; <a href="/authors/wu.chenhuang" title="Author Profile">Wu, Chenhuang</a>; <a href="/authors/wei.wanyin" title="Author Profile">Wei, Wanyin</a></div> <h3 class="title"> <a href="/1353.94027"><strong>An extension of binary threshold sequences from Fermat quotients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1353.94027">Zbl 1353.94027</a> </h3> <div class="source"> <a href="/serials/4974" title="Journal Profile">Adv. Math. Commun.</a> <a href="/?q=in%3A360424" title="Articles in this Issue">10, No. 4, 743-752 (2016)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A94A55" title="Shift register sequences and sequences over finite alphabets in information and communication theory">94A55</a> <a class="mono" href="/classification/?q=cc%3A94A60" title="Cryptography">94A60</a> <a class="mono" href="/classification/?q=cc%3A65C10" title="Random number generation in numerical analysis">65C10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1353.94027" data-ciurl="/ci/06652411" data-biburl="/bibtex/06652411.bib" data-amsurl="/amsrefs/06652411.bib" data-xmlurl="/xml/06652411.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06652411.pdf" title="Zbl 1353.94027 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.3934/amc.2016038" aria-label="DOI for “An extension of binary threshold sequences from Fermat quotients”" title="10.3934/amc.2016038">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6602740" value="6602740" aria-label="mark item Zbl 1360.11004"></div> <div class="author"><a href="/authors/amdeberhan.tewodros" title="Author Profile">Amdeberhan, Tewodros</a>; <a href="/authors/tauraso.roberto" title="Author Profile">Tauraso, Roberto</a></div> <h3 class="title"> <a href="/1360.11004"><strong>Supercongruences for the Almkvist-Zudilin numbers.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1360.11004">Zbl 1360.11004</a> </h3> <div class="source"> <a href="/serials/278" title="Journal Profile">Acta Arith.</a> <a href="/?q=in%3A356882" title="Articles in this Issue">173, No. 3, 255-268 (2016)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A12054">Enzo Bonacci (Latina)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> <a class="mono" href="/classification/?q=cc%3A11B65" title="Binomial coefficients; factorials; \(q\)-identities">11B65</a> <a class="mono" href="/classification/?q=cc%3A05A10" title="Factorials, binomial coefficients, combinatorial functions">05A10</a> <a class="mono" href="/classification/?q=cc%3A05A19" title="Combinatorial identities, bijective combinatorics">05A19</a> <a class="mono" href="/classification/?q=cc%3A33C20" title="Generalized hypergeometric series, \({}_pF_q\)">33C20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1360.11004" data-ciurl="/ci/06602740" data-biburl="/bibtex/06602740.bib" data-amsurl="/amsrefs/06602740.bib" data-xmlurl="/xml/06602740.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06602740.pdf" title="Zbl 1360.11004 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4064/aa8215-2-2016" aria-label="DOI for “Supercongruences for the Almkvist-Zudilin numbers”" title="10.4064/aa8215-2-2016">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1506.08437"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6589334" value="6589334" aria-label="mark item Zbl 1351.11033"></div> <div class="author"><a href="/authors/gras.georges" title="Author Profile">Gras, Georges</a></div> <h3 class="title"> <a href="/1351.11033"><strong>The local \(\theta\)-regulators of an algebraic number: \(p\)-adic conjectures. (Les \(\theta\)-régulateurs locaux d’un nombre algébrique : conjectures \(p\)-adiques.)</strong></a> <i>(French. English summary)</i> <a class="label nowrap" href="/1351.11033">Zbl 1351.11033</a> </h3> <div class="source"> <a href="/serials/383" title="Journal Profile">Can. J. Math.</a> <a href="/?q=in%3A355856" title="Articles in this Issue">68, No. 3, 571-624 (2016)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A7030">Thong Nguyen Quang Do (Besançon)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11F85" title="\(p\)-adic theory, local fields">11F85</a> <a class="mono" href="/classification/?q=cc%3A11R04" title="Algebraic numbers; rings of algebraic integers">11R04</a> <a class="mono" href="/classification/?q=cc%3A20C15" title="Ordinary representations and characters">20C15</a> <a class="mono" href="/classification/?q=cc%3A11C20" title="Matrices, determinants in number theory">11C20</a> <a class="mono" href="/classification/?q=cc%3A11R37" title="Class field theory">11R37</a> <a class="mono" href="/classification/?q=cc%3A11R27" title="Units and factorization">11R27</a> <a class="mono" href="/classification/?q=cc%3A11Y40" title="Algebraic number theory computations">11Y40</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1351.11033" data-ciurl="/ci/06589334" data-biburl="/bibtex/06589334.bib" data-amsurl="/amsrefs/06589334.bib" data-xmlurl="/xml/06589334.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06589334.pdf" title="Zbl 1351.11033 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4153/CJM-2015-026-3" aria-label="DOI for “The local \(\theta\)-regulators of an algebraic number: \(p\)-adic conjectures”" title="10.4153/CJM-2015-026-3">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1511.01755"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6587823" value="6587823" aria-label="mark item Zbl 1346.11062"></div> <div class="author"><a href="/authors/nguyen-ngoc-dong-quan." title="Author Profile">Nguyen, Ngoc Dong Quan</a></div> <h3 class="title"> <a href="/1346.11062"><strong>Non-vanishing of Carlitz-Fermat quotients modulo primes.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1346.11062">Zbl 1346.11062</a> </h3> <div class="source"> <a href="/serials/200" title="Journal Profile">Rocky Mt. J. Math.</a> <a href="/?q=in%3A355811" title="Articles in this Issue">46, No. 1, 125-130 (2016)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A8252">Gabriel D. Villa-Salvador (México D. F.)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11R60" title="Cyclotomic function fields (class groups, Bernoulli objects, etc.)">11R60</a> <a class="mono" href="/classification/?q=cc%3A11G09" title="Drinfel’d modules; higher-dimensional motives, etc.">11G09</a> <a class="mono" href="/classification/?q=cc%3A11R58" title="Arithmetic theory of algebraic function fields">11R58</a> <a class="mono" href="/classification/?q=cc%3A11T55" title="Arithmetic theory of polynomial rings over finite fields">11T55</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1346.11062" data-ciurl="/ci/06587823" data-biburl="/bibtex/06587823.bib" data-amsurl="/amsrefs/06587823.bib" data-xmlurl="/xml/06587823.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06587823.pdf" title="Zbl 1346.11062 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1216/RMJ-2016-46-1-125" aria-label="DOI for “Non-vanishing of Carlitz-Fermat quotients modulo primes”" title="10.1216/RMJ-2016-46-1-125">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://projecteuclid.org/euclid.rmjm/1464035855" title="Full Text at Project Euclid">Euclid</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6569170" value="6569170" aria-label="mark item Zbl 1414.11109"></div> <div class="author"><a href="/authors/harman.glyn" title="Author Profile">Harman, Glyn</a>; <a href="/authors/shparlinski.igor-e" title="Author Profile">Shparlinski, Igor E.</a></div> <h3 class="title"> <a href="/1414.11109"><strong>Products of small integers in residue classes and additive properties of Fermat quotients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1414.11109">Zbl 1414.11109</a> </h3> <div class="source"> <a href="/serials/1388" title="Journal Profile">Int. Math. Res. Not.</a> <a href="/?q=in%3A354166" title="Articles in this Issue">2016, No. 5, 1424-1446 (2016)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11N25" title="Distribution of integers with specified multiplicative constraints">11N25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1414.11109" data-ciurl="/ci/06569170" data-biburl="/bibtex/06569170.bib" data-amsurl="/amsrefs/06569170.bib" data-xmlurl="/xml/06569170.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06569170.pdf" title="Zbl 1414.11109 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1093/imrn/rnv182" aria-label="DOI for “Products of small integers in residue classes and additive properties of Fermat quotients”" title="10.1093/imrn/rnv182">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1408.4515"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6511751" value="6511751" aria-label="mark item Zbl 1343.94032"></div> <div class="author"><a href="/authors/chen.zhixiong.1" title="Author Profile">Chen, Zhixiong</a>; <a href="/authors/du.xiaoni" title="Author Profile">Du, Xiaoni</a>; <a href="/authors/marzouk.radwa" title="Author Profile">Marzouk, Radwa</a></div> <h3 class="title"> <a href="/1343.94032"><strong>Trace representation of pseudorandom binary sequences derived from Euler quotients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1343.94032">Zbl 1343.94032</a> </h3> <div class="source"> <a href="/serials/1772" title="Journal Profile">Appl. Algebra Eng. Commun. Comput.</a> <a href="/?q=in%3A349773" title="Articles in this Issue">26, No. 6, 555-570 (2015)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A94A55" title="Shift register sequences and sequences over finite alphabets in information and communication theory">94A55</a> <a class="mono" href="/classification/?q=cc%3A94A60" title="Cryptography">94A60</a> <a class="mono" href="/classification/?q=cc%3A65C10" title="Random number generation in numerical analysis">65C10</a> <a class="mono" href="/classification/?q=cc%3A11B68" title="Bernoulli and Euler numbers and polynomials">11B68</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1343.94032" data-ciurl="/ci/06511751" data-biburl="/bibtex/06511751.bib" data-amsurl="/amsrefs/06511751.bib" data-xmlurl="/xml/06511751.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06511751.pdf" title="Zbl 1343.94032 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00200-015-0265-4" aria-label="DOI for “Trace representation of pseudorandom binary sequences derived from Euler quotients”" title="10.1007/s00200-015-0265-4">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1408.2385"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6471885" value="6471885" aria-label="mark item Zbl 1332.11090"></div> <div class="author"><a href="/authors/chen.zhixiong.1" title="Author Profile">Chen, Zhixiong</a>; <a href="/authors/winterhof.arne" title="Author Profile">Winterhof, Arne</a></div> <h3 class="title"> <a href="/1332.11090"><strong>Polynomial quotients: interpolation, value sets and Waring’s problem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1332.11090">Zbl 1332.11090</a> </h3> <div class="source"> <a href="/serials/278" title="Journal Profile">Acta Arith.</a> <a href="/?q=in%3A347024" title="Articles in this Issue">170, No. 2, 121-134 (2015)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A11173">Robert Fitzgerald (Carbondale)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11P05" title="Waring’s problem and variants">11P05</a> <a class="mono" href="/classification/?q=cc%3A11T06" title="Polynomials over finite fields">11T06</a> <a class="mono" href="/classification/?q=cc%3A11T24" title="Other character sums and Gauss sums">11T24</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1332.11090" data-ciurl="/ci/06471885" data-biburl="/bibtex/06471885.bib" data-amsurl="/amsrefs/06471885.bib" data-xmlurl="/xml/06471885.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06471885.pdf" title="Zbl 1332.11090 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4064/aa170-2-2" aria-label="DOI for “Polynomial quotients: interpolation, value sets and Waring's problem”" title="10.4064/aa170-2-2">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1402.1913"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6439818" value="6439818" aria-label="mark item Zbl 1377.11054"></div> <div class="author"><a href="/authors/buium.alexandru" title="Author Profile">Buium, Alexandru</a></div> <h3 class="title"> <a href="/1377.11054"><strong>Differential modular forms attached to newforms mod \(p\).</strong></a> <i>(English)</i> <a class="label nowrap" href="/1377.11054">Zbl 1377.11054</a> </h3> <div class="source"> <a href="/serials/512" title="Journal Profile">J. Number Theory</a> <a href="/?q=in%3A344439" title="Articles in this Issue">155, 111-128 (2015)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11F37" title="Forms of half-integer weight; nonholomorphic modular forms">11F37</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1377.11054" data-ciurl="/ci/06439818" data-biburl="/bibtex/06439818.bib" data-amsurl="/amsrefs/06439818.bib" data-xmlurl="/xml/06439818.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06439818.pdf" title="Zbl 1377.11054 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jnt.2015.03.008" aria-label="DOI for “Differential modular forms attached to newforms mod \(p\)”" title="10.1016/j.jnt.2015.03.008">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1409.5367"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6434427" value="6434427" aria-label="mark item Zbl 1365.11017"></div> <div class="author"><a href="/authors/guo.victor-j-w" title="Author Profile">Guo, Victor J. W.</a></div> <h3 class="title"> <a href="/1365.11017"><strong>Some congruences related to the \(q\)-Fermat quotients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1365.11017">Zbl 1365.11017</a> </h3> <div class="source"> <a href="/serials/3335" title="Journal Profile">Int. J. Number Theory</a> <a href="/?q=in%3A343531" title="Articles in this Issue">11, No. 3, 1049-1060 (2015)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11B65" title="Binomial coefficients; factorials; \(q\)-identities">11B65</a> <a class="mono" href="/classification/?q=cc%3A33D15" title="Basic hypergeometric functions in one variable, \({}_r\phi_s\)">33D15</a> <a class="mono" href="/classification/?q=cc%3A05A10" title="Factorials, binomial coefficients, combinatorial functions">05A10</a> <a class="mono" href="/classification/?q=cc%3A05A30" title="\(q\)-calculus and related topics">05A30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1365.11017" data-ciurl="/ci/06434427" data-biburl="/bibtex/06434427.bib" data-amsurl="/amsrefs/06434427.bib" data-xmlurl="/xml/06434427.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06434427.pdf" title="Zbl 1365.11017 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S1793042115500554" aria-label="DOI for “Some congruences related to the \(q\)-Fermat quotients”" title="10.1142/S1793042115500554">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1312.6541"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6969826" value="6969826" aria-label="mark item Zbl 1398.94085"></div> <div class="author"><a href="/authors/chen.zhixiong.1" title="Author Profile">Chen, Zhixiong</a></div> <h3 class="title"> <a href="/1398.94085"><strong>Trace representation and linear complexity of binary sequences derived from Fermat quotients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1398.94085">Zbl 1398.94085</a> </h3> <div class="source"> <a href="/serials/6888" title="Journal Profile">Sci. China, Inf. Sci.</a> <a href="/?q=in%3A338636" title="Articles in this Issue">57, No. 11, Article ID 112109, 10 p. (2014)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A94A55" title="Shift register sequences and sequences over finite alphabets in information and communication theory">94A55</a> <a class="mono" href="/classification/?q=cc%3A94A60" title="Cryptography">94A60</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1398.94085" data-ciurl="/ci/06969826" data-biburl="/bibtex/06969826.bib" data-amsurl="/amsrefs/06969826.bib" data-xmlurl="/xml/06969826.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06969826.pdf" title="Zbl 1398.94085 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11432-014-5092-x" aria-label="DOI for “Trace representation and linear complexity of binary sequences derived from Fermat quotients”" title="10.1007/s11432-014-5092-x">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1306.5648"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="http://engine.scichina.com/doi/10.1007/s11432-014-5092-x" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6365275" value="6365275" aria-label="mark item Zbl 1313.68052"></div> <div class="author"><a href="/authors/wu.chenhuang" title="Author Profile">Wu, Chenhuang</a>; <a href="/authors/chen.zhixiong.1" title="Author Profile">Chen, Zhixiong</a></div> <h3 class="title"> <a href="/1313.68052"><strong>Linear complexity of pseudorandom sequences based on summation of polynomial quotients.</strong></a> <i>(Chinese. English summary)</i> <a class="label nowrap" href="/1313.68052">Zbl 1313.68052</a> </h3> <div class="source"> <a href="/serials/973" title="Journal Profile">J. Wuhan Univ., Nat. Sci. Ed.</a> <a href="/?q=in%3A338036" title="Articles in this Issue">60, No. 2, 167-172 (2014)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A68P25" title="Data encryption (aspects in computer science)">68P25</a> <a class="mono" href="/classification/?q=cc%3A11K45" title="Pseudo-random numbers; Monte Carlo methods">11K45</a> <a class="mono" href="/classification/?q=cc%3A11T71" title="Algebraic coding theory; cryptography (number-theoretic aspects)">11T71</a> <a class="mono" href="/classification/?q=cc%3A94A60" title="Cryptography">94A60</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1313.68052" data-ciurl="/ci/06365275" data-biburl="/bibtex/06365275.bib" data-amsurl="/amsrefs/06365275.bib" data-xmlurl="/xml/06365275.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06365275.pdf" title="Zbl 1313.68052 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6305432" value="6305432" aria-label="mark item Zbl 1305.11002"></div> <div class="author"><a href="/authors/chen.zhixiong.1" title="Author Profile">Chen, Zhixiong</a>; <a href="/authors/winterhof.arne" title="Author Profile">Winterhof, Arne</a></div> <h3 class="title"> <a href="/1305.11002"><strong>Interpolation of Fermat quotients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1305.11002">Zbl 1305.11002</a> </h3> <div class="source"> <a href="/serials/1220" title="Journal Profile">SIAM J. Discrete Math.</a> <a href="/?q=in%3A333465" title="Articles in this Issue">28, No. 1, 1-7 (2014)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A12054">Enzo Bonacci (Latina)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> <a class="mono" href="/classification/?q=cc%3A37P25" title="Dynamical systems over finite ground fields">37P25</a> <a class="mono" href="/classification/?q=cc%3A11N69" title="Distribution of integers in special residue classes">11N69</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1305.11002" data-ciurl="/ci/06305432" data-biburl="/bibtex/06305432.bib" data-amsurl="/amsrefs/06305432.bib" data-xmlurl="/xml/06305432.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06305432.pdf" title="Zbl 1305.11002 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/130907951" aria-label="DOI for “Interpolation of Fermat quotients”" title="10.1137/130907951">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6341824" value="6341824" aria-label="mark item Zbl 1295.11030"></div> <div class="author"><a href="/authors/cosgrave.john-b" title="Author Profile">Cosgrave, John B.</a>; <a href="/authors/dilcher.karl" title="Author Profile">Dilcher, Karl</a></div> <h3 class="title"> <a href="/1295.11030"><strong>Sums of reciprocals modulo composite integers.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1295.11030">Zbl 1295.11030</a> </h3> <div class="source"> <a href="/serials/512" title="Journal Profile">J. Number Theory</a> <a href="/?q=in%3A336309" title="Articles in this Issue">133, No. 11, 3565-3577 (2013)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11D68" title="Rational numbers as sums of fractions">11D68</a> <a class="mono" href="/classification/?q=cc%3A11B83" title="Special sequences and polynomials">11B83</a> <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1295.11030" data-ciurl="/ci/06341824" data-biburl="/bibtex/06341824.bib" data-amsurl="/amsrefs/06341824.bib" data-xmlurl="/xml/06341824.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06341824.pdf" title="Zbl 1295.11030 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jnt.2013.04.016" aria-label="DOI for “Sums of reciprocals modulo composite integers”" title="10.1016/j.jnt.2013.04.016">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6249133" value="6249133" aria-label="mark item Zbl 1282.11101"></div> <div class="author"><a href="/authors/shkredov.ilya-d" title="Author Profile">Shkredov, I. D.</a></div> <h3 class="title"> <a href="/1282.11101"><strong>On Heilbronn’s exponential sum.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1282.11101">Zbl 1282.11101</a> </h3> <div class="source"> <a href="/serials/2722" title="Journal Profile">Q. J. Math.</a> <a href="/?q=in%3A328045" title="Articles in this Issue">64, No. 4, 1221-1230 (2013)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A1250">Olaf Ninnemann (Uffing am Staffelsee)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11L07" title="Estimates on exponential sums">11L07</a> <a class="mono" href="/classification/?q=cc%3A11L40" title="Estimates on character sums">11L40</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1282.11101" data-ciurl="/ci/06249133" data-biburl="/bibtex/06249133.bib" data-amsurl="/amsrefs/06249133.bib" data-xmlurl="/xml/06249133.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06249133.pdf" title="Zbl 1282.11101 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1093/qmath/has037" aria-label="DOI for “On Heilbronn's exponential sum”" title="10.1093/qmath/has037">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1208.6124"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6224958" value="6224958" aria-label="mark item Zbl 1368.11057"></div> <div class="author"><a href="/authors/harvey.david" title="Author Profile">Harvey, David</a>; <a href="/authors/shparlinski.igor-e" title="Author Profile">Shparlinski, Igor E.</a></div> <h3 class="title"> <a href="/1368.11057"><strong>Statistics of different reduction types of Fermat curves.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1368.11057">Zbl 1368.11057</a> </h3> <div class="source"> <a href="/serials/1825" title="Journal Profile">Exp. Math.</a> <a href="/?q=in%3A325761" title="Articles in this Issue">22, No. 3, 243-249 (2013)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11G20" title="Curves over finite and local fields">11G20</a> <a class="mono" href="/classification/?q=cc%3A11N25" title="Distribution of integers with specified multiplicative constraints">11N25</a> <a class="mono" href="/classification/?q=cc%3A11Y40" title="Algebraic number theory computations">11Y40</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1368.11057" data-ciurl="/ci/06224958" data-biburl="/bibtex/06224958.bib" data-amsurl="/amsrefs/06224958.bib" data-xmlurl="/xml/06224958.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06224958.pdf" title="Zbl 1368.11057 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1080/10586458.2013.790201" aria-label="DOI for “Statistics of different reduction types of Fermat curves”" title="10.1080/10586458.2013.790201">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1212.0915"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6165615" value="6165615" aria-label="mark item Zbl 1315.11004"></div> <div class="author"><a href="/authors/shparlinski.igor-e" title="Author Profile">Shparlinski, Igor E.</a></div> <h3 class="title"> <a href="/1315.11004"><strong>On vanishing Fermat quotients and a bound of the Ihara sum.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1315.11004">Zbl 1315.11004</a> </h3> <div class="source"> <a href="/serials/538" title="Journal Profile">Kodai Math. J.</a> <a href="/?q=in%3A317870" title="Articles in this Issue">36, No. 1, 99-108 (2013)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A9477">Florian Luca (Morelia)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> <a class="mono" href="/classification/?q=cc%3A11N25" title="Distribution of integers with specified multiplicative constraints">11N25</a> <a class="mono" href="/classification/?q=cc%3A11R04" title="Algebraic numbers; rings of algebraic integers">11R04</a> <a class="mono" href="/classification/?q=cc%3A11R18" title="Cyclotomic extensions">11R18</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1315.11004" data-ciurl="/ci/06165615" data-biburl="/bibtex/06165615.bib" data-amsurl="/amsrefs/06165615.bib" data-xmlurl="/xml/06165615.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06165615.pdf" title="Zbl 1315.11004 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.2996/kmj/1364562722" aria-label="DOI for “On vanishing Fermat quotients and a bound of the Ihara sum”" title="10.2996/kmj/1364562722">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1104.3910"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="https://projecteuclid.org/euclid.kmj/1364562722" title="Full Text at Project Euclid">Euclid</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6160868" value="6160868" aria-label="mark item Zbl 1296.94071"></div> <div class="author"><a href="/authors/chen.zhixiong.1" title="Author Profile">Chen, Zhixiong</a>; <a href="/authors/du.xiaoni" title="Author Profile">Du, Xiaoni</a></div> <h3 class="title"> <a href="/1296.94071"><strong>On the linear complexity of binary threshold sequences derived from Fermat quotients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1296.94071">Zbl 1296.94071</a> </h3> <div class="source"> <a href="/serials/1412" title="Journal Profile">Des. Codes Cryptography</a> <a href="/?q=in%3A316684" title="Articles in this Issue">67, No. 3, 317-323 (2013)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A94A55" title="Shift register sequences and sequences over finite alphabets in information and communication theory">94A55</a> <a class="mono" href="/classification/?q=cc%3A94A60" title="Cryptography">94A60</a> <a class="mono" href="/classification/?q=cc%3A11T71" title="Algebraic coding theory; cryptography (number-theoretic aspects)">11T71</a> <a class="mono" href="/classification/?q=cc%3A65C10" title="Random number generation in numerical analysis">65C10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1296.94071" data-ciurl="/ci/06160868" data-biburl="/bibtex/06160868.bib" data-amsurl="/amsrefs/06160868.bib" data-xmlurl="/xml/06160868.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06160868.pdf" title="Zbl 1296.94071 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10623-012-9608-3" aria-label="DOI for “On the linear complexity of binary threshold sequences derived from Fermat quotients”" title="10.1007/s10623-012-9608-3">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6125342" value="6125342" aria-label="mark item Zbl 1305.11104"></div> <div class="author"><a href="/authors/shparlinski.igor-e" title="Author Profile">Shparlinski, Igor E.</a>; <a href="/authors/winterhof.arne" title="Author Profile">Winterhof, Arne</a></div> <h3 class="title"> <a href="/1305.11104"><strong>Distribution of values of polynomial Fermat quotients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1305.11104">Zbl 1305.11104</a> </h3> <div class="source"> <a href="/serials/2055" title="Journal Profile">Finite Fields Appl.</a> <a href="/?q=in%3A312916" title="Articles in this Issue">19, 93-104 (2013)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A9477">Florian Luca (Morelia)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11T06" title="Polynomials over finite fields">11T06</a> <a class="mono" href="/classification/?q=cc%3A11T55" title="Arithmetic theory of polynomial rings over finite fields">11T55</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1305.11104" data-ciurl="/ci/06125342" data-biburl="/bibtex/06125342.bib" data-amsurl="/amsrefs/06125342.bib" data-xmlurl="/xml/06125342.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06125342.pdf" title="Zbl 1305.11104 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.ffa.2012.10.004" aria-label="DOI for “Distribution of values of polynomial Fermat quotients”" title="10.1016/j.ffa.2012.10.004">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6242425" value="6242425" aria-label="mark item Zbl 1306.11096"></div> <div class="author"><a href="/authors/chen.zhixiong.1" title="Author Profile">Chen, Zhixiong</a>; <a href="/authors/winterhof.arne" title="Author Profile">Winterhof, Arne</a></div> <h3 class="title"> <a href="/1306.11096"><strong>Additive character sums of polynomial quotients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1306.11096">Zbl 1306.11096</a> </h3> <div class="source"> Lavrauw, Michel (ed.) et al., Theory and applications of finite fields. The 10th international conference on finite fields and their applications, Ghent, Belgium, July 11–15, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5298-9/pbk; 978-0-8218-9157-5/ebook). Contemporary Mathematics 579, 67-73 (2012). </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A8245">Sergey Stepanov (Moskva)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11T23" title="Exponential sums">11T23</a> <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> <a class="mono" href="/classification/?q=cc%3A11L40" title="Estimates on character sums">11L40</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1306.11096" data-ciurl="/ci/06242425" data-biburl="/bibtex/06242425.bib" data-amsurl="/amsrefs/06242425.bib" data-xmlurl="/xml/06242425.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06242425.pdf" title="Zbl 1306.11096 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/conm/579/11519" aria-label="DOI for “Additive character sums of polynomial quotients”" title="10.1090/conm/579/11519">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6085943" value="6085943" aria-label="mark item Zbl 1316.14052"></div> <div class="author"><a href="/authors/buium.alexandru" title="Author Profile">Buium, Alexandru</a></div> <h3 class="title"> <a href="/1316.14052"><strong>Differential characters on curves.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1316.14052">Zbl 1316.14052</a> </h3> <div class="source"> Goldfeld, Dorian (ed.) et al., Number theory, analysis and geometry. In memory of Serge Lang. Berlin: Springer (ISBN 978-1-4614-1259-5/hbk; 978-1-4614-1260-1/ebook). 111-123 (2012). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A14H25" title="Arithmetic ground fields for curves">14H25</a> <a class="mono" href="/classification/?q=cc%3A11G20" title="Curves over finite and local fields">11G20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1316.14052" data-ciurl="/ci/06085943" data-biburl="/bibtex/06085943.bib" data-amsurl="/amsrefs/06085943.bib" data-xmlurl="/xml/06085943.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06085943.pdf" title="Zbl 1316.14052 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/978-1-4614-1260-1_5" aria-label="DOI for “Differential characters on curves”" title="10.1007/978-1-4614-1260-1_5">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6083225" value="6083225" aria-label="mark item Zbl 1263.11110"></div> <div class="author"><a href="/authors/gomez.domingo" title="Author Profile">Gomez, Domingo</a>; <a href="/authors/winterhof.arne" title="Author Profile">Winterhof, Arne</a></div> <h3 class="title"> <a href="/1263.11110"><strong>Multiplicative character sums of Fermat quotients and pseudorandom sequences.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1263.11110">Zbl 1263.11110</a> </h3> <div class="source"> <a href="/serials/178" title="Journal Profile">Period. Math. Hung.</a> <a href="/?q=in%3A307027" title="Articles in this Issue">64, No. 2, 161-168 (2012)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A9477">Florian Luca (Morelia)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11T24" title="Other character sums and Gauss sums">11T24</a> <a class="mono" href="/classification/?q=cc%3A11K45" title="Pseudo-random numbers; Monte Carlo methods">11K45</a> <a class="mono" href="/classification/?q=cc%3A11K36" title="Well-distributed sequences and other variations">11K36</a> <a class="mono" href="/classification/?q=cc%3A11T71" title="Algebraic coding theory; cryptography (number-theoretic aspects)">11T71</a> <a class="mono" href="/classification/?q=cc%3A94A55" title="Shift register sequences and sequences over finite alphabets in information and communication theory">94A55</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1263.11110" data-ciurl="/ci/06083225" data-biburl="/bibtex/06083225.bib" data-amsurl="/amsrefs/06083225.bib" data-xmlurl="/xml/06083225.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06083225.pdf" title="Zbl 1263.11110 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10998-012-3747-1" aria-label="DOI for “Multiplicative character sums of Fermat quotients and pseudorandom sequences”" title="10.1007/s10998-012-3747-1">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6079469" value="6079469" aria-label="mark item Zbl 1304.94024"></div> <div class="author"><a href="/authors/chen.zhixiong.1" title="Author Profile">Chen, Zhixiong</a>; <a href="/authors/gomez-perez.domingo" title="Author Profile">Gómez-Pérez, Domingo</a></div> <h3 class="title"> <a href="/1304.94024"><strong>Linear complexity of binary sequences derived from polynomial quotients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1304.94024">Zbl 1304.94024</a> </h3> <div class="source"> Helleseth, Tor (ed.) et al., Sequences and their applications – SETA 2012. 7th international conference, Waterloo, ON, Canada, June 4–8, 2012. Proceedings. Berlin: Springer (ISBN 978-3-642-30614-3/pbk). Lecture Notes in Computer Science 7280, 181-189 (2012). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A94A55" title="Shift register sequences and sequences over finite alphabets in information and communication theory">94A55</a> <a class="mono" href="/classification/?q=cc%3A94A60" title="Cryptography">94A60</a> <a class="mono" href="/classification/?q=cc%3A11T71" title="Algebraic coding theory; cryptography (number-theoretic aspects)">11T71</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1304.94024" data-ciurl="/ci/06079469" data-biburl="/bibtex/06079469.bib" data-amsurl="/amsrefs/06079469.bib" data-xmlurl="/xml/06079469.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06079469.pdf" title="Zbl 1304.94024 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/978-3-642-30615-0_17" aria-label="DOI for “Linear complexity of binary sequences derived from polynomial quotients”" title="10.1007/978-3-642-30615-0_17">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6059717" value="6059717" aria-label="mark item Zbl 1243.94026"></div> <div class="author"><a href="/authors/du.xiaoni" title="Author Profile">Du, Xiaoni</a>; <a href="/authors/chen.zhixiong.1" title="Author Profile">Chen, Zhixiong</a>; <a href="/authors/hu.lei" title="Author Profile">Hu, Lei</a></div> <h3 class="title"> <a href="/1243.94026"><strong>Linear complexity of binary sequences derived from Euler quotients with prime-power modulus.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1243.94026">Zbl 1243.94026</a> </h3> <div class="source"> <a href="/serials/113" title="Journal Profile">Inf. Process. Lett.</a> <a href="/?q=in%3A302280" title="Articles in this Issue">112, No. 14-15, 604-609 (2012)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A94A60" title="Cryptography">94A60</a> <a class="mono" href="/classification/?q=cc%3A11B68" title="Bernoulli and Euler numbers and polynomials">11B68</a> <a class="mono" href="/classification/?q=cc%3A11K45" title="Pseudo-random numbers; Monte Carlo methods">11K45</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1243.94026" data-ciurl="/ci/06059717" data-biburl="/bibtex/06059717.bib" data-amsurl="/amsrefs/06059717.bib" data-xmlurl="/xml/06059717.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06059717.pdf" title="Zbl 1243.94026 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.ipl.2012.04.011" aria-label="DOI for “Linear complexity of binary sequences derived from Euler quotients with prime-power modulus”" title="10.1016/j.ipl.2012.04.011">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6058201" value="6058201" aria-label="mark item Zbl 1242.94023"></div> <div class="author"><a href="/authors/du.xiaoni" title="Author Profile">Du, Xiaoni</a>; <a href="/authors/klapper.andrew-m" title="Author Profile">Klapper, Andrew</a>; <a href="/authors/chen.zhixiong.1" title="Author Profile">Chen, Zhixiong</a></div> <h3 class="title"> <a href="/1242.94023"><strong>Linear complexity of pseudorandom sequences generated by Fermat quotients and their generalizations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1242.94023">Zbl 1242.94023</a> </h3> <div class="source"> <a href="/serials/113" title="Journal Profile">Inf. Process. Lett.</a> <a href="/?q=in%3A296288" title="Articles in this Issue">112, No. 6, 233-237 (2012)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A94A60" title="Cryptography">94A60</a> <a class="mono" href="/classification/?q=cc%3A11K45" title="Pseudo-random numbers; Monte Carlo methods">11K45</a> <a class="mono" href="/classification/?q=cc%3A11T71" title="Algebraic coding theory; cryptography (number-theoretic aspects)">11T71</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1242.94023" data-ciurl="/ci/06058201" data-biburl="/bibtex/06058201.bib" data-amsurl="/amsrefs/06058201.bib" data-xmlurl="/xml/06058201.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06058201.pdf" title="Zbl 1242.94023 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.ipl.2011.11.017" aria-label="DOI for “Linear complexity of pseudorandom sequences generated by Fermat quotients and their generalizations”" title="10.1016/j.ipl.2011.11.017">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6030251" value="6030251" aria-label="mark item Zbl 1267.11048"></div> <div class="author"><a href="/authors/buium.alexandru" title="Author Profile">Buium, Alexandru</a>; <a href="/authors/saha.arnab" title="Author Profile">Saha, Arnab</a></div> <h3 class="title"> <a href="/1267.11048"><strong>The ring of differential Fourier expansions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1267.11048">Zbl 1267.11048</a> </h3> <div class="source"> <a href="/serials/512" title="Journal Profile">J. Number Theory</a> <a href="/?q=in%3A296968" title="Articles in this Issue">132, No. 5, 896-937 (2012)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11F32" title="Modular correspondences, etc.">11F32</a> <a class="mono" href="/classification/?q=cc%3A11F85" title="\(p\)-adic theory, local fields">11F85</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1267.11048" data-ciurl="/ci/06030251" data-biburl="/bibtex/06030251.bib" data-amsurl="/amsrefs/06030251.bib" data-xmlurl="/xml/06030251.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06030251.pdf" title="Zbl 1267.11048 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jnt.2011.12.007" aria-label="DOI for “The ring of differential Fourier expansions”" title="10.1016/j.jnt.2011.12.007">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1104.0124"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6028333" value="6028333" aria-label="mark item Zbl 1305.11003"></div> <div class="author"><a href="/authors/shparlinski.igor-e" title="Author Profile">Shparlinski, Igor E.</a></div> <h3 class="title"> <a href="/1305.11003"><strong>On the value set of Fermat quotients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1305.11003">Zbl 1305.11003</a> </h3> <div class="source"> <a href="/serials/623" title="Journal Profile">Proc. Am. Math. Soc.</a> <a href="/?q=in%3A298078" title="Articles in this Issue">140, No. 4, 1199-1206 (2012)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> <a class="mono" href="/classification/?q=cc%3A11L07" title="Estimates on exponential sums">11L07</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1305.11003" data-ciurl="/ci/06028333" data-biburl="/bibtex/06028333.bib" data-amsurl="/amsrefs/06028333.bib" data-xmlurl="/xml/06028333.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06028333.pdf" title="Zbl 1305.11003 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0002-9939-2011-11203-6" aria-label="DOI for “On the value set of Fermat quotients”" title="10.1090/S0002-9939-2011-11203-6">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6023776" value="6023776" aria-label="mark item Zbl 1315.11070"></div> <div class="author"><a href="/authors/chen.zhixiong.1" title="Author Profile">Chen, Zhixiong</a>; <a href="/authors/winterhof.arne" title="Author Profile">Winterhof, Arne</a></div> <h3 class="title"> <a href="/1315.11070"><strong>On the distribution of pseudorandom numbers and vectors derived from Euler-Fermat quotients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1315.11070">Zbl 1315.11070</a> </h3> <div class="source"> <a href="/serials/3335" title="Journal Profile">Int. J. Number Theory</a> <a href="/?q=in%3A297761" title="Articles in this Issue">8, No. 3, 631-641 (2012)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11L40" title="Estimates on character sums">11L40</a> <a class="mono" href="/classification/?q=cc%3A11K45" title="Pseudo-random numbers; Monte Carlo methods">11K45</a> <a class="mono" href="/classification/?q=cc%3A65C10" title="Random number generation in numerical analysis">65C10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1315.11070" data-ciurl="/ci/06023776" data-biburl="/bibtex/06023776.bib" data-amsurl="/amsrefs/06023776.bib" data-xmlurl="/xml/06023776.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06023776.pdf" title="Zbl 1315.11070 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1142/S1793042112500352" aria-label="DOI for “On the distribution of pseudorandom numbers and vectors derived from Euler-Fermat quotients”" title="10.1142/S1793042112500352">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5988608" value="5988608" aria-label="mark item Zbl 1325.11081"></div> <div class="author"><a href="/authors/chang.mei-chu" title="Author Profile">Chang, Mei-Chu</a></div> <h3 class="title"> <a href="/1325.11081"><strong>Short character sums with Fermat quotients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1325.11081">Zbl 1325.11081</a> </h3> <div class="source"> <a href="/serials/278" title="Journal Profile">Acta Arith.</a> <a href="/?q=in%3A292119" title="Articles in this Issue">152, No. 1, 23-38 (2012)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A12474">Huaning Liu (Shaanxi)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11L40" title="Estimates on character sums">11L40</a> <a class="mono" href="/classification/?q=cc%3A11L26" title="Sums over arbitrary intervals">11L26</a> <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> <a class="mono" href="/classification/?q=cc%3A11B75" title="Other combinatorial number theory">11B75</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1325.11081" data-ciurl="/ci/05988608" data-biburl="/bibtex/05988608.bib" data-amsurl="/amsrefs/05988608.bib" data-xmlurl="/xml/05988608.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05988608.pdf" title="Zbl 1325.11081 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4064/aa152-1-3" aria-label="DOI for “Short character sums with Fermat quotients”" title="10.4064/aa152-1-3">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://semanticscholar.org/paper/0c9b92ccc6a04f7f18d3cdad9fd953f968c4e6a6" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6008455" value="6008455" aria-label="mark item Zbl 1235.06014"></div> <div class="author"><a href="/authors/aly.hassan-y" title="Author Profile">Aly, Hassan</a>; <a href="/authors/winterhof.arne" title="Author Profile">Winterhof, Arne</a></div> <h3 class="title"> <a href="/1235.06014"><strong>Boolean functions derived from Fermat quotients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1235.06014">Zbl 1235.06014</a> </h3> <div class="source"> <a href="/serials/6805" title="Journal Profile">Cryptogr. Commun.</a> <a href="/?q=in%3A295732" title="Articles in this Issue">3, No. 3, 165-174 (2011)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A06E30" title="Boolean functions">06E30</a> <a class="mono" href="/classification/?q=cc%3A94A60" title="Cryptography">94A60</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1235.06014" data-ciurl="/ci/06008455" data-biburl="/bibtex/06008455.bib" data-amsurl="/amsrefs/06008455.bib" data-xmlurl="/xml/06008455.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06008455.pdf" title="Zbl 1235.06014 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s12095-011-0043-5" aria-label="DOI for “Boolean functions derived from Fermat quotients”" title="10.1007/s12095-011-0043-5">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5964581" value="5964581" aria-label="mark item Zbl 1263.11003"></div> <div class="author"><a href="/authors/ostafe.alina" title="Author Profile">Ostafe, Alina</a>; <a href="/authors/shparlinski.igor-e" title="Author Profile">Shparlinski, Igor E.</a></div> <h3 class="title"> <a href="/1263.11003"><strong>Pseudorandomness and dynamics of Fermat quotients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1263.11003">Zbl 1263.11003</a> </h3> <div class="source"> <a href="/serials/1220" title="Journal Profile">SIAM J. Discrete Math.</a> <a href="/?q=in%3A286488" title="Articles in this Issue">25, No. 1, 50-71 (2011)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11A15" title="Power residues, reciprocity">11A15</a> <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> <a class="mono" href="/classification/?q=cc%3A11L40" title="Estimates on character sums">11L40</a> <span class="mono" title="Relations of ergodic theory with number theory and harmonic analysis (MSC2010)">37A45</span> <a class="mono" href="/classification/?q=cc%3A37P25" title="Dynamical systems over finite ground fields">37P25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1263.11003" data-ciurl="/ci/05964581" data-biburl="/bibtex/05964581.bib" data-amsurl="/amsrefs/05964581.bib" data-xmlurl="/xml/05964581.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05964581.pdf" title="Zbl 1263.11003 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/100798466" aria-label="DOI for “Pseudorandomness and dynamics of Fermat quotients”" title="10.1137/100798466">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1001.1504"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5904386" value="5904386" aria-label="mark item Zbl 1221.11004"></div> <div class="author"><a href="/authors/shparlinski.igor-e" title="Author Profile">Shparlinski, Igor E.</a></div> <h3 class="title"> <a href="/1221.11004"><strong>Bounds of multiplicative character sums with Fermat quotients of primes.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1221.11004">Zbl 1221.11004</a> </h3> <div class="source"> <a href="/serials/51" title="Journal Profile">Bull. Aust. Math. Soc.</a> <a href="/?q=in%3A280548" title="Articles in this Issue">83, No. 3, 456-462 (2011)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A12474">Huaning Liu (Shaanxi)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> <a class="mono" href="/classification/?q=cc%3A11L40" title="Estimates on character sums">11L40</a> <a class="mono" href="/classification/?q=cc%3A11N25" title="Distribution of integers with specified multiplicative constraints">11N25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1221.11004" data-ciurl="/ci/05904386" data-biburl="/bibtex/05904386.bib" data-amsurl="/amsrefs/05904386.bib" data-xmlurl="/xml/05904386.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05904386.pdf" title="Zbl 1221.11004 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1017/S000497271000198X" aria-label="DOI for “Bounds of multiplicative character sums with Fermat quotients of primes”" title="10.1017/S000497271000198X">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5817567" value="5817567" aria-label="mark item Zbl 1209.30022"></div> <div class="author"><a href="/authors/buium.alexandru" title="Author Profile">Buium, Alexandru</a>; <a href="/authors/ralph.claire-c" title="Author Profile">Ralph, Claire C.</a>; <a href="/authors/simanca.santiago-r" title="Author Profile">Simanca, Santiago R.</a></div> <h3 class="title"> <a href="/1209.30022"><strong>Arithmetic differential operators on \(\mathbb Z_p\).</strong></a> <i>(English)</i> <a class="label nowrap" href="/1209.30022">Zbl 1209.30022</a> </h3> <div class="source"> <a href="/serials/512" title="Journal Profile">J. Number Theory</a> <a href="/?q=in%3A270105" title="Articles in this Issue">131, No. 1, 96-105 (2011)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A11817">Mehmet Cenkci (Antalya)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A30G06" title="Non-Archimedean function theory">30G06</a> <a class="mono" href="/classification/?q=cc%3A11S80" title="Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.)">11S80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1209.30022" data-ciurl="/ci/05817567" data-biburl="/bibtex/05817567.bib" data-amsurl="/amsrefs/05817567.bib" data-xmlurl="/xml/05817567.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05817567.pdf" title="Zbl 1209.30022 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jnt.2010.07.011" aria-label="DOI for “Arithmetic differential operators on \(\mathbb Z_p\)”" title="10.1016/j.jnt.2010.07.011">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/0808.0688"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5784892" value="5784892" aria-label="mark item Zbl 1234.12006"></div> <div class="author"><a href="/authors/buium.alexandru" title="Author Profile">Buium, Alexandru</a>; <a href="/authors/simanca.santiago-r" title="Author Profile">Simanca, Santiago R.</a></div> <h3 class="title"> <a href="/1234.12006"><strong>Arithmetic partial differential equations. II.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1234.12006">Zbl 1234.12006</a> </h3> <div class="source"> <a href="/serials/290" title="Journal Profile">Adv. Math.</a> <a href="/?q=in%3A267190" title="Articles in this Issue">225, No. 3, 1308-1340 (2010)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A12H20" title="Abstract differential equations">12H20</a> <a class="mono" href="/classification/?q=cc%3A11S80" title="Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.)">11S80</a> <a class="mono" href="/classification/?q=cc%3A35R03" title="PDEs on Heisenberg groups, Lie groups, Carnot groups, etc.">35R03</a> <a class="mono" href="/classification/?q=cc%3A11F99" title="Discontinuous groups and automorphic forms">11F99</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1234.12006" data-ciurl="/ci/05784892" data-biburl="/bibtex/05784892.bib" data-amsurl="/amsrefs/05784892.bib" data-xmlurl="/xml/05784892.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05784892.pdf" title="Zbl 1234.12006 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.aim.2009.12.027" aria-label="DOI for “Arithmetic partial differential equations. II”" title="10.1016/j.aim.2009.12.027">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/math/0605107"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5777253" value="5777253" aria-label="mark item Zbl 1217.12005"></div> <div class="author"><a href="/authors/buium.alexandru" title="Author Profile">Buium, Alexandru</a>; <a href="/authors/simanca.santiago-r" title="Author Profile">Simanca, Santiago R.</a></div> <h3 class="title"> <a href="/1217.12005"><strong>Arithmetic partial differential equations. I.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1217.12005">Zbl 1217.12005</a> </h3> <div class="source"> <a href="/serials/290" title="Journal Profile">Adv. Math.</a> <a href="/?q=in%3A266544" title="Articles in this Issue">225, No. 2, 689-793 (2010)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10991">Florin Nicolae (Berlin)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A12H05" title="Differential algebra">12H05</a> <a class="mono" href="/classification/?q=cc%3A12H20" title="Abstract differential equations">12H20</a> <a class="mono" href="/classification/?q=cc%3A14G20" title="Local ground fields in algebraic geometry">14G20</a> <a class="mono" href="/classification/?q=cc%3A14L15" title="Group schemes">14L15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1217.12005" data-ciurl="/ci/05777253" data-biburl="/bibtex/05777253.bib" data-amsurl="/amsrefs/05777253.bib" data-xmlurl="/xml/05777253.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05777253.pdf" title="Zbl 1217.12005 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.aim.2009.12.026" aria-label="DOI for “Arithmetic partial differential equations. I”" title="10.1016/j.aim.2009.12.026">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5541696" value="5541696" aria-label="mark item Zbl 1195.11009"></div> <div class="author"><a href="/authors/agoh.takashi" title="Author Profile">Agoh, Takashi</a>; <a href="/authors/skula.ladislav" title="Author Profile">Skula, Ladislav</a></div> <h3 class="title"> <a href="/1195.11009"><strong>The fourth power of the Fermat quotient.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1195.11009">Zbl 1195.11009</a> </h3> <div class="source"> <a href="/serials/512" title="Journal Profile">J. Number Theory</a> <a href="/?q=in%3A233616" title="Articles in this Issue">128, No. 11, 2865-2873 (2008)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A12115">Hao Pan (Nanjing)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> <a class="mono" href="/classification/?q=cc%3A11B68" title="Bernoulli and Euler numbers and polynomials">11B68</a> <a class="mono" href="/classification/?q=cc%3A11B75" title="Other combinatorial number theory">11B75</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1195.11009" data-ciurl="/ci/05541696" data-biburl="/bibtex/05541696.bib" data-amsurl="/amsrefs/05541696.bib" data-xmlurl="/xml/05541696.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05541696.pdf" title="Zbl 1195.11009 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jnt.2008.06.001" aria-label="DOI for “The fourth power of the Fermat quotient”" title="10.1016/j.jnt.2008.06.001">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5518674" value="5518674" aria-label="mark item Zbl 1166.11004"></div> <div class="author"><a href="/authors/agoh.takashi" title="Author Profile">Agoh, Takashi</a></div> <h3 class="title"> <a href="/1166.11004"><strong>The square and cube of Fermat quotients and values of Mirimanoff polynomials.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1166.11004">Zbl 1166.11004</a> </h3> <div class="source"> <a href="/serials/2937" title="Journal Profile">JP J. Algebra Number Theory Appl.</a> <a href="/?q=in%3A244046" title="Articles in this Issue">11, No. 1, 113-127 (2008)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A3894">Tauno Metsänkylä (Turku)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11A15" title="Power residues, reciprocity">11A15</a> <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> <a class="mono" href="/classification/?q=cc%3A11B68" title="Bernoulli and Euler numbers and polynomials">11B68</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1166.11004" data-ciurl="/ci/05518674" data-biburl="/bibtex/05518674.bib" data-amsurl="/amsrefs/05518674.bib" data-xmlurl="/xml/05518674.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05518674.pdf" title="Zbl 1166.11004 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="http://pphmj.com/abstract/3360.htm" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5232018" value="5232018" aria-label="mark item Zbl 1154.11010"></div> <div class="author"><a href="/authors/sun.zhihong" title="Author Profile">Sun, Zhihong</a></div> <h3 class="title"> <a href="/1154.11010"><strong>Congruences involving Bernoulli and Euler numbers.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1154.11010">Zbl 1154.11010</a> </h3> <div class="source"> <a href="/serials/512" title="Journal Profile">J. Number Theory</a> <a href="/?q=in%3A215776" title="Articles in this Issue">128, No. 2, 280-312 (2008)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A3894">Tauno Metsänkylä (Turku)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11B68" title="Bernoulli and Euler numbers and polynomials">11B68</a> <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> <a class="mono" href="/classification/?q=cc%3A11A15" title="Power residues, reciprocity">11A15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1154.11010" data-ciurl="/ci/05232018" data-biburl="/bibtex/05232018.bib" data-amsurl="/amsrefs/05232018.bib" data-xmlurl="/xml/05232018.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05232018.pdf" title="Zbl 1154.11010 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jnt.2007.03.003" aria-label="DOI for “Congruences involving Bernoulli and Euler numbers”" title="10.1016/j.jnt.2007.03.003">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5305272" value="5305272" aria-label="mark item Zbl 1205.14058"></div> <div class="author"><a href="/authors/abiko.tadayuki" title="Author Profile">Abiko, Tadayuki</a></div> <h3 class="title"> <a href="/1205.14058"><strong>Supplements to the assertion in the previous paper: ”Classification of cubic forms with three variables”.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1205.14058">Zbl 1205.14058</a> </h3> <div class="source"> <a href="/serials/1761" title="Journal Profile">Res. Rep., Kushiro Natl. Coll. Technol.</a> <a href="/?q=in%3A216450" title="Articles in this Issue">41, 59-66 (2007)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A14L30" title="Group actions on varieties or schemes (quotients)">14L30</a> <a class="mono" href="/classification/?q=cc%3A11D41" title="Higher degree equations; Fermat’s equation">11D41</a> <a class="mono" href="/classification/?q=cc%3A58K35" title="Catastrophe theory">58K35</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1205.14058" data-ciurl="/ci/05305272" data-biburl="/bibtex/05305272.bib" data-amsurl="/amsrefs/05305272.bib" data-xmlurl="/xml/05305272.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05305272.pdf" title="Zbl 1205.14058 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5176349" value="5176349" aria-label="mark item Zbl 1131.11036"></div> <div class="author"><a href="/authors/tzermias.pavlos" title="Author Profile">Tzermias, Pavlos</a></div> <h3 class="title"> <a href="/1131.11036"><strong>Almost rational torsion points and the cuspidal torsion packet on Fermat quotient curves.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1131.11036">Zbl 1131.11036</a> </h3> <div class="source"> <a href="/serials/2080" title="Journal Profile">Math. Res. Lett.</a> <a href="/?q=in%3A193548" title="Articles in this Issue">14, No. 1, 99-105 (2007)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A11236">Remke Kloosterman (Hannover)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11G10" title="Abelian varieties of dimension \(> 1\)">11G10</a> <a class="mono" href="/classification/?q=cc%3A11G30" title="Curves of arbitrary genus or genus \(\ne 1\) over global fields">11G30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1131.11036" data-ciurl="/ci/05176349" data-biburl="/bibtex/05176349.bib" data-amsurl="/amsrefs/05176349.bib" data-xmlurl="/xml/05176349.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05176349.pdf" title="Zbl 1131.11036 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4310/MRL.2007.v14.n1.a8" aria-label="DOI for “Almost rational torsion points and the cuspidal torsion packet on Fermat quotient curves”" title="10.4310/MRL.2007.v14.n1.a8">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5504197" value="5504197" aria-label="mark item Zbl 1172.11013"></div> <div class="author"><a href="/authors/buium.alexandru" title="Author Profile">Buium, Alexandru</a></div> <h3 class="title"> <a href="/1172.11013"><strong>Correspondences, Fermat quotients, and uniformization.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1172.11013">Zbl 1172.11013</a> </h3> <div class="source"> Bertrand, Daniel (ed.) et al., Groupes de Galois arithmétique et différentiels. Paris: Société Mathématique de France (ISBN 978-2-85629-222-8/pbk). Séminaires et Congrès 13, 79-89 (2006). </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A11184">Manouchehr Misaghian (Prairie View)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11F32" title="Modular correspondences, etc.">11F32</a> <a class="mono" href="/classification/?q=cc%3A14G35" title="Modular and Shimura varieties">14G35</a> <a class="mono" href="/classification/?q=cc%3A12H05" title="Differential algebra">12H05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1172.11013" data-ciurl="/ci/05504197" data-biburl="/bibtex/05504197.bib" data-amsurl="/amsrefs/05504197.bib" data-xmlurl="/xml/05504197.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05504197.pdf" title="Zbl 1172.11013 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1983485" value="1983485" aria-label="mark item Zbl 1043.14008"></div> <div class="author"><a href="/authors/flenner.hubert" title="Author Profile">Flenner, Hubert</a>; <a href="/authors/zaidenberg.mikhail-g" title="Author Profile">Zaidenberg, Mikhail</a></div> <h3 class="title"> <a href="/1043.14008"><strong>Rational curves and rational singularities.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1043.14008">Zbl 1043.14008</a> </h3> <div class="source"> <a href="/serials/579" title="Journal Profile">Math. Z.</a> <a href="/?q=in%3A97818" title="Articles in this Issue">244, No. 3, 549-575 (2003)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A6811">Eugenii I. Shustin (Tel Aviv)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A14J17" title="Singularities of surfaces or higher-dimensional varieties">14J17</a> <a class="mono" href="/classification/?q=cc%3A14L30" title="Group actions on varieties or schemes (quotients)">14L30</a> <a class="mono" href="/classification/?q=cc%3A14R20" title="Group actions on affine varieties">14R20</a> <a class="mono" href="/classification/?q=cc%3A14M20" title="Rational and unirational varieties">14M20</a> <a class="mono" href="/classification/?q=cc%3A11D41" title="Higher degree equations; Fermat’s equation">11D41</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1043.14008" data-ciurl="/ci/01983485" data-biburl="/bibtex/01983485.bib" data-amsurl="/amsrefs/01983485.bib" data-xmlurl="/xml/01983485.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01983485.pdf" title="Zbl 1043.14008 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00209-003-0497-z" aria-label="DOI for “Rational curves and rational singularities”" title="10.1007/s00209-003-0497-z">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/math/0109221"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1781932" value="1781932" aria-label="mark item Zbl 1034.11014"></div> <div class="author"><a href="/authors/agoh.takashi" title="Author Profile">Agoh, Takashi</a></div> <h3 class="title"> <a href="/1034.11014"><strong>Congruences involving Bernoulli numbers and Fermat-Euler quotients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1034.11014">Zbl 1034.11014</a> </h3> <div class="source"> <a href="/serials/512" title="Journal Profile">J. Number Theory</a> <a href="/?q=in%3A85658" title="Articles in this Issue">94, No. 1, 1-9 (2002)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A3894">Tauno Metsänkylä (Turku)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11B68" title="Bernoulli and Euler numbers and polynomials">11B68</a> <a class="mono" href="/classification/?q=cc%3A11A15" title="Power residues, reciprocity">11A15</a> <a class="mono" href="/classification/?q=cc%3A11R11" title="Quadratic extensions">11R11</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1034.11014" data-ciurl="/ci/01781932" data-biburl="/bibtex/01781932.bib" data-amsurl="/amsrefs/01781932.bib" data-xmlurl="/xml/01781932.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01781932.pdf" title="Zbl 1034.11014 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1006/jnth.2001.2728" aria-label="DOI for “Congruences involving Bernoulli numbers and Fermat-Euler quotients.”" title="10.1006/jnth.2001.2728">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1693625" value="1693625" aria-label="mark item Zbl 1016.11058"></div> <div class="author"><a href="/authors/dilcher.karl" title="Author Profile">Dilcher, Karl</a></div> <h3 class="title"> <a href="/1016.11058"><strong>Fermat numbers, Wieferich and Wilson primes: computations and generalizations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1016.11058">Zbl 1016.11058</a> </h3> <div class="source"> Alster, Kazimierz (ed.) et al., Public-key cryptography and computational number theory. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center, Warsaw, Poland, September 11-15, 2000. Berlin: de Gruyter. 29-48 (2001). </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10022">Juan Tena Ayuso (Valladolid)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11Y05" title="Factorization">11Y05</a> <a class="mono" href="/classification/?q=cc%3A11Y11" title="Primality">11Y11</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1016.11058" data-ciurl="/ci/01693625" data-biburl="/bibtex/01693625.bib" data-amsurl="/amsrefs/01693625.bib" data-xmlurl="/xml/01693625.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01693625.pdf" title="Zbl 1016.11058 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1734408" value="1734408" aria-label="mark item Zbl 1064.11001"></div> <div class="author"><a href="/authors/lepka.karel" title="Author Profile">Lepka, Karel</a></div> <h3 class="title"> <a href="/1064.11001"><strong>History of Fermat quotients (Fermat-Lerch). (Historie Fermatových kvocientu (Fermat-Lerch).)</strong></a> <i>(Czech)</i> <a class="label nowrap" href="/1064.11001">Zbl 1064.11001</a> </h3> <div class="source"> <a href="/serials/4691" title="Series Profile">Dějiny Matematiky / History of Mathematics</a> 14. Prague: Prometheus (ISBN 80-7196-190-6). xiv, 108 p., open access (2000). </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A11017">Magdalena Hyksova (Praha)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11-03" title="History of number theory">11-03</a> <a class="mono" href="/classification/?q=cc%3A01A05" title="General histories, source books">01A05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1064.11001" data-ciurl="/ci/01734408" data-biburl="/bibtex/01734408.bib" data-amsurl="/amsrefs/01734408.bib" data-xmlurl="/xml/01734408.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01734408.pdf" title="Zbl 1064.11001 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="http://www.dml.cz/handle/10338.dmlcz/401883" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1416680" value="1416680" aria-label="mark item Zbl 0954.11009"></div> <div class="author"><a href="/authors/jakubec.stanislav" title="Author Profile">Jakubec, S.</a></div> <h3 class="title"> <a href="/0954.11009"><strong>Note on Wieferich’s congruence for primes \(p\equiv 1\pmod 4\).</strong></a> <i>(English)</i> <a class="label nowrap" href="/0954.11009">Zbl 0954.11009</a> </h3> <div class="source"> <a href="/serials/272" title="Journal Profile">Abh. Math. Semin. Univ. Hamb.</a> <a href="/?q=in%3A45673" title="Articles in this Issue">68, 193-197 (1998)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A3894">T.Metsänkylä (Turku)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11B68" title="Bernoulli and Euler numbers and polynomials">11B68</a> <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> <a class="mono" href="/classification/?q=cc%3A11R18" title="Cyclotomic extensions">11R18</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0954.11009" data-ciurl="/ci/01416680" data-biburl="/bibtex/01416680.bib" data-amsurl="/amsrefs/01416680.bib" data-xmlurl="/xml/01416680.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01416680.pdf" title="Zbl 0954.11009 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/BF02942562" aria-label="DOI for “Note on Wieferich's congruence for primes \(p\equiv 1\pmod 4\)”" title="10.1007/BF02942562">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item975539" value="975539" aria-label="mark item Zbl 0911.14021"></div> <div class="author"><a href="/authors/rodriguez.rubi-elena" title="Author Profile">Rodríguez, Rubí E.</a>; <a href="/authors/gonzalez-aguilera.victor" title="Author Profile">González-Aguilera, Víctor</a></div> <h3 class="title"> <a href="/0911.14021"><strong>Fermat’s quartic curve, Klein’s curve and the tetrahedron.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0911.14021">Zbl 0911.14021</a> </h3> <div class="source"> Quine, J. R. (ed.) et al., Extremal Riemann surfaces. From the proceedings of the AMS special session with related papers, January 4–5, 1995, San Francisco, CA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 201, 43-62 (1997). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A14L30" title="Group actions on varieties or schemes (quotients)">14L30</a> <a class="mono" href="/classification/?q=cc%3A14H45" title="Special algebraic curves and curves of low genus">14H45</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0911.14021" data-ciurl="/ci/00975539" data-biburl="/bibtex/00975539.bib" data-amsurl="/amsrefs/00975539.bib" data-xmlurl="/xml/00975539.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00975539.pdf" title="Zbl 0911.14021 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item963307" value="963307" aria-label="mark item Zbl 0854.11002"></div> <div class="author"><a href="/authors/crandall.richard-e" title="Author Profile">Crandall, Richard</a>; <a href="/authors/dilcher.karl" title="Author Profile">Dilcher, Karl</a>; <a href="/authors/pomerance.carl" title="Author Profile">Pomerance, Carl</a></div> <h3 class="title"> <a href="/0854.11002"><strong>A search for Wieferich and Wilson primes.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0854.11002">Zbl 0854.11002</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A38355" title="Articles in this Issue">66, No. 217, 433-449 (1997)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> <a class="mono" href="/classification/?q=cc%3A11-04" title="Software, source code, etc. for problems pertaining to number theory">11-04</a> <a class="mono" href="/classification/?q=cc%3A11Y99" title="Computational number theory">11Y99</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0854.11002" data-ciurl="/ci/00963307" data-biburl="/bibtex/00963307.bib" data-amsurl="/amsrefs/00963307.bib" data-xmlurl="/xml/00963307.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00963307.pdf" title="Zbl 0854.11002 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1090/S0025-5718-97-00791-6" aria-label="DOI for “A search for Wieferich and Wilson primes”" title="10.1090/S0025-5718-97-00791-6">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1199962" value="1199962" aria-label="mark item Zbl 0913.11052"></div> <div class="author"><a href="/authors/sauerberg.jim" title="Author Profile">Sauerberg, Jim</a>; <a href="/authors/shu.linghsueh" title="Author Profile">Shu, Linghsueh</a></div> <h3 class="title"> <a href="/0913.11052"><strong>Fermat quotients over function fields.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0913.11052">Zbl 0913.11052</a> </h3> <div class="source"> <a href="/serials/2055" title="Journal Profile">Finite Fields Appl.</a> <a href="/?q=in%3A50872" title="Articles in this Issue">3, No. 4, 275-286 (1997)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A8158">Leonardo Cangelmi (Roma)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11T55" title="Arithmetic theory of polynomial rings over finite fields">11T55</a> <a class="mono" href="/classification/?q=cc%3A11R58" title="Arithmetic theory of algebraic function fields">11R58</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0913.11052" data-ciurl="/ci/01199962" data-biburl="/bibtex/01199962.bib" data-amsurl="/amsrefs/01199962.bib" data-xmlurl="/xml/01199962.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01199962.pdf" title="Zbl 0913.11052 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1006/ffta.1996.0165" aria-label="DOI for “Fermat quotients over function fields”" title="10.1006/ffta.1996.0165">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://semanticscholar.org/paper/99188f1616ce3787eaa16be23c49e514b7597db6" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1061239" value="1061239" aria-label="mark item Zbl 0884.11003"></div> <div class="author"><a href="/authors/agoh.takashi" title="Author Profile">Agoh, Takashi</a>; <a href="/authors/dilcher.karl" title="Author Profile">Dilcher, Karl</a>; <a href="/authors/skula.ladislav" title="Author Profile">Skula, Ladislav</a></div> <h3 class="title"> <a href="/0884.11003"><strong>Fermat quotients for composite moduli.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0884.11003">Zbl 0884.11003</a> </h3> <div class="source"> <a href="/serials/512" title="Journal Profile">J. Number Theory</a> <a href="/?q=in%3A42943" title="Articles in this Issue">66, No. 1, 29-50 (1997)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A3894">T.Metsänkylä (Turku)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11A15" title="Power residues, reciprocity">11A15</a> <a class="mono" href="/classification/?q=cc%3A11B68" title="Bernoulli and Euler numbers and polynomials">11B68</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" 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<i>(English)</i> <a class="label nowrap" href="/0867.11076">Zbl 0867.11076</a> </h3> <div class="source"> <a href="/serials/278" title="Journal Profile">Acta Arith.</a> <a href="/?q=in%3A36472" title="Articles in this Issue">76, No. 4, 335-358 (1996)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A3894">T.Metsänkylä (Turku)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11R27" title="Units and factorization">11R27</a> <a class="mono" href="/classification/?q=cc%3A11R18" title="Cyclotomic extensions">11R18</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 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aria-label="mark item Zbl 0864.11013"></div> <div class="author"><a href="/authors/cohen.henri" title="Author Profile">Cohen, Henri</a></div> <h3 class="title"> <a href="/0864.11013"><strong>Computations connected with Fermat’s Last Theorem. 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Fr.</a> <a href="/?q=in%3A31804" title="Articles in this Issue">66, 41-45 (1995)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A1350">A.J.van der Poorten (North Ryde)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11D41" title="Higher degree equations; Fermat’s equation">11D41</a> <a class="mono" href="/classification/?q=cc%3A11B68" title="Bernoulli and Euler numbers and polynomials">11B68</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0864.11013" data-ciurl="/ci/00917757" data-biburl="/bibtex/00917757.bib" data-amsurl="/amsrefs/00917757.bib" data-xmlurl="/xml/00917757.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00917757.pdf" title="Zbl 0864.11013 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item834676" value="834676" aria-label="mark item Zbl 0847.11034"></div> <div class="author"><a href="/authors/mauduit.veronique" title="Author Profile">Mauduit, Véronique</a></div> <h3 class="title"> <a href="/0847.11034"><strong>Fermat-Carlitz quotients. (Quotients de Fermat-Carlitz.)</strong></a> <i>(French)</i> <a class="label nowrap" href="/0847.11034">Zbl 0847.11034</a> </h3> <div class="source"> <a href="/serials/1681" title="Journal Profile">C. R. Acad. Sci., Paris, Sér. I</a> <a href="/?q=in%3A29717" title="Articles in this Issue">321, No. 9, 1139-1141 (1995)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A8302">Andreas Schweizer (Saarbrücken)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11G09" title="Drinfel’d modules; higher-dimensional motives, etc.">11G09</a> <a class="mono" href="/classification/?q=cc%3A14L05" title="Formal groups, \(p\)-divisible groups">14L05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0847.11034" data-ciurl="/ci/00834676" data-biburl="/bibtex/00834676.bib" data-amsurl="/amsrefs/00834676.bib" data-xmlurl="/xml/00834676.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00834676.pdf" title="Zbl 0847.11034 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item824175" value="824175" aria-label="mark item Zbl 0845.11004"></div> <div class="author"><a href="/authors/agoh.takashi" title="Author Profile">Agoh, Takashi</a></div> <h3 class="title"> <a href="/0845.11004"><strong>On Giuga’s conjecture.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0845.11004">Zbl 0845.11004</a> </h3> <div class="source"> <a href="/serials/547" title="Journal Profile">Manuscr. Math.</a> <a href="/?q=in%3A28053" title="Articles in this Issue">87, No. 4, 501-510 (1995)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A5851">T.Maxsein (Clausthal)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> <a class="mono" href="/classification/?q=cc%3A11A41" title="Primes">11A41</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0845.11004" data-ciurl="/ci/00824175" data-biburl="/bibtex/00824175.bib" data-amsurl="/amsrefs/00824175.bib" data-xmlurl="/xml/00824175.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00824175.pdf" title="Zbl 0845.11004 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/BF02570490" aria-label="DOI for “On Giuga's conjecture”" title="10.1007/BF02570490">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://eudml.org/doc/156103" title="Open Access at EuDML">EuDML</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item812879" value="812879" aria-label="mark item Zbl 0874.11005"></div> <div class="author"><a href="/authors/lepka.karel" title="Author Profile">Lepka, Karel</a></div> <h3 class="title"> <a href="/0874.11005"><strong>Matyáš Lerch’s work on number theory.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0874.11005">Zbl 0874.11005</a> </h3> <div class="source"> Brno: Masaryk Univ., Fac. of Science, 78 p. (1995). </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A1215">W.Narkiewicz (Wrocław)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11-03" title="History of number theory">11-03</a> <a class="mono" href="/classification/?q=cc%3A01A55" title="History of mathematics in the 19th century">01A55</a> <a class="mono" href="/classification/?q=cc%3A11A05" title="Multiplicative structure; Euclidean algorithm; greatest common divisors">11A05</a> <a class="mono" href="/classification/?q=cc%3A11A15" title="Power residues, reciprocity">11A15</a> <a class="mono" href="/classification/?q=cc%3A01A60" title="History of mathematics in the 20th century">01A60</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0874.11005" data-ciurl="/ci/00812879" data-biburl="/bibtex/00812879.bib" data-amsurl="/amsrefs/00812879.bib" data-xmlurl="/xml/00812879.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00812879.pdf" title="Zbl 0874.11005 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item790714" value="790714" aria-label="mark item Zbl 0831.11025"></div> <div class="author"><a href="/authors/skula.ladislav" title="Author Profile">Skula, Ladislav</a></div> <h3 class="title"> <a href="/0831.11025"><strong>Some historical aspects of the Fermat problem.</strong></a> <i>(Czech)</i> <a class="label nowrap" href="/0831.11025">Zbl 0831.11025</a> </h3> <div class="source"> <a href="/serials/1619" title="Journal Profile">Pokroky Mat. Fyz. Astron.</a> <a href="/?q=in%3A26136" title="Articles in this Issue">39, No. 6, 318-330 (1994)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A1604">L.Skula (Brno)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11D41" title="Higher degree equations; Fermat’s equation">11D41</a> <a class="mono" href="/classification/?q=cc%3A11-03" title="History of number theory">11-03</a> <a class="mono" href="/classification/?q=cc%3A11-02" title="Research exposition (monographs, survey articles) pertaining to number theory">11-02</a> <a class="mono" href="/classification/?q=cc%3A01A55" title="History of mathematics in the 19th century">01A55</a> <a class="mono" href="/classification/?q=cc%3A01A60" title="History of mathematics in the 20th century">01A60</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0831.11025" data-ciurl="/ci/00790714" data-biburl="/bibtex/00790714.bib" data-amsurl="/amsrefs/00790714.bib" data-xmlurl="/xml/00790714.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00790714.pdf" title="Zbl 0831.11025 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://eudml.org/doc/37207" title="Open Access at EuDML">EuDML</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item703865" value="703865" aria-label="mark item Zbl 0838.14020"></div> <div class="author"><a href="/authors/anderson.greg-w" title="Author Profile">Anderson, Greg W.</a></div> <h3 class="title"> <a href="/0838.14020"><strong>Torsion points on Jacobians of quotients of Fermat curves and \(p\)-adic soliton theory.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0838.14020">Zbl 0838.14020</a> </h3> <div class="source"> <a href="/serials/465" title="Journal Profile">Invent. Math.</a> <a href="/?q=in%3A22898" title="Articles in this Issue">118, No. 3, 475-492 (1994)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A7364">M.Candilera (Padova)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A14G20" title="Local ground fields in algebraic geometry">14G20</a> <a class="mono" href="/classification/?q=cc%3A14H40" title="Jacobians, Prym varieties">14H40</a> <a class="mono" href="/classification/?q=cc%3A14K15" title="Arithmetic ground fields for abelian varieties">14K15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0838.14020" data-ciurl="/ci/00703865" data-biburl="/bibtex/00703865.bib" data-amsurl="/amsrefs/00703865.bib" data-xmlurl="/xml/00703865.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00703865.pdf" title="Zbl 0838.14020 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/BF01231542" aria-label="DOI for “Torsion points on Jacobians of quotients of Fermat curves and \(p\)-adic soliton theory”" title="10.1007/BF01231542">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://eudml.org/doc/144245" title="Open Access at EuDML">EuDML</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item465483" value="465483" aria-label="mark item Zbl 0808.11016"></div> <div class="author"><a href="/authors/sun.zhihong" title="Author Profile">Sun, Zhihong</a></div> <h3 class="title"> <a href="/0808.11016"><strong>The combinatorial sum \({\displaystyle \sum_{k=0 \atop k \equiv r \pmod m}^ n {n \choose k}}\) and its applications in number theory. II.</strong></a> <i>(Chinese. English summary)</i> <a class="label nowrap" href="/0808.11016">Zbl 0808.11016</a> </h3> <div class="source"> <a href="/serials/1020" title="Journal Profile">J. Nanjing Univ., Math. Biq.</a> <a href="/?q=in%3A14989" title="Articles in this Issue">10, No. 1, 105-118 (1993)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11B65" title="Binomial coefficients; factorials; \(q\)-identities">11B65</a> <a class="mono" href="/classification/?q=cc%3A05B10" title="Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.)">05B10</a> <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0808.11016" data-ciurl="/ci/00465483" data-biburl="/bibtex/00465483.bib" data-amsurl="/amsrefs/00465483.bib" data-xmlurl="/xml/00465483.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00465483.pdf" title="Zbl 0808.11016 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item427904" value="427904" aria-label="mark item Zbl 0788.11002"></div> <div class="author"><a href="/authors/montgomery.peter-l" title="Author Profile">Montgomery, Peter L.</a></div> <h3 class="title"> <a href="/0788.11002"><strong>New solutions of \(a^{p-1} \equiv 1 (\pmod p^ 2)\).</strong></a> <i>(English)</i> <a class="label nowrap" href="/0788.11002">Zbl 0788.11002</a> </h3> <div class="source"> <a href="/serials/240" title="Journal Profile">Math. Comput.</a> <a href="/?q=in%3A15321" title="Articles in this Issue">61, No. 203, 361-363 (1993)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A1911">H.C.Williams (Winnipeg)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11-04" title="Software, source code, etc. for problems pertaining to number theory">11-04</a> <a class="mono" href="/classification/?q=cc%3A11D61" title="Exponential Diophantine equations">11D61</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0788.11002" data-ciurl="/ci/00427904" data-biburl="/bibtex/00427904.bib" data-amsurl="/amsrefs/00427904.bib" data-xmlurl="/xml/00427904.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00427904.pdf" title="Zbl 0788.11002 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.2307/2152960" aria-label="DOI for “New solutions of \(a^{p-1} \equiv 1 (\pmod p^ 2)\)”" title="10.2307/2152960">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item409848" value="409848" aria-label="mark item Zbl 0790.11020"></div> <div class="author"><a href="/authors/granville.andrew-j" title="Author Profile">Granville, Andrew</a></div> <h3 class="title"> <a href="/0790.11020"><strong>The Kummer-Wieferich-Skula approach to the first case of Fermat’s Last Theorem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0790.11020">Zbl 0790.11020</a> </h3> <div class="source"> Gouvêa, Fernando Q. (ed.) et al., Advances in number theory. The proceedings of the third conference of the Canadian Number Theory Association, held at Queen’s University, Kingston, Canada, August 18-24, 1991. Oxford: Clarendon Press. 479-497 (1993). </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A3894">T.Metsänkylä (Turku)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11D41" title="Higher degree equations; Fermat’s equation">11D41</a> <a class="mono" href="/classification/?q=cc%3A11B68" title="Bernoulli and Euler numbers and polynomials">11B68</a> <a class="mono" href="/classification/?q=cc%3A11R11" title="Quadratic extensions">11R11</a> <a class="mono" href="/classification/?q=cc%3A11E41" title="Class numbers of quadratic and Hermitian forms">11E41</a> <a class="mono" href="/classification/?q=cc%3A11R29" title="Class numbers, class groups, discriminants">11R29</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0790.11020" data-ciurl="/ci/00409848" data-biburl="/bibtex/00409848.bib" data-amsurl="/amsrefs/00409848.bib" data-xmlurl="/xml/00409848.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00409848.pdf" title="Zbl 0790.11020 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1649728" value="1649728" aria-label="mark item Zbl 0971.11509"></div> <div class="author"><a href="/authors/cao.zhenfu" title="Author Profile">Cao, Zhenfu</a>; <a href="/authors/pan.jiayu" title="Author Profile">Pan, Jiayu</a></div> <h3 class="title"> <a href="/0971.11509"><strong>The Diophantine equation \(x^{2p}-Dy^2=1\) and the Fermat quotient \(Q_p(m)\).</strong></a> <i>(English)</i> <a class="label nowrap" href="/0971.11509">Zbl 0971.11509</a> </h3> <div class="source"> <a href="/serials/2890" title="Journal Profile">J. Harbin Inst. Technol.</a> <a href="/?q=in%3A79788" title="Articles in this Issue">25, No. 6, 119-121 (1993)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11D41" title="Higher degree equations; Fermat’s equation">11D41</a> <a class="mono" href="/classification/?q=cc%3A11D61" title="Exponential Diophantine equations">11D61</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0971.11509" data-ciurl="/ci/01649728" data-biburl="/bibtex/01649728.bib" data-amsurl="/amsrefs/01649728.bib" data-xmlurl="/xml/01649728.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01649728.pdf" title="Zbl 0971.11509 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item93477" value="93477" aria-label="mark item Zbl 0753.11016"></div> <div class="author"><a href="/authors/skula.ladislav" title="Author Profile">Skula, Ladislav</a></div> <h3 class="title"> <a href="/0753.11016"><strong>Fermat’s Last Theorem and the Fermat quotients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0753.11016">Zbl 0753.11016</a> </h3> <div class="source"> <a href="/serials/390" title="Journal Profile">Comment. Math. Univ. St. Pauli</a> <a href="/?q=in%3A9019" title="Articles in this Issue">41, No. 1, 35-54 (1992)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A3894">Tauno Metsänkylä (Turku)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11D41" title="Higher degree equations; Fermat’s equation">11D41</a> <a class="mono" href="/classification/?q=cc%3A11A15" title="Power residues, reciprocity">11A15</a> <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0753.11016" data-ciurl="/ci/00093477" data-biburl="/bibtex/00093477.bib" data-amsurl="/amsrefs/00093477.bib" data-xmlurl="/xml/00093477.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00093477.pdf" title="Zbl 0753.11016 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item86203" value="86203" aria-label="mark item Zbl 0766.14013"></div> <div class="author"><a href="/authors/mccallum.william-g" title="Author Profile">McCallum, William G.</a></div> <h3 class="title"> <a href="/0766.14013"><strong>The arithmetic of Fermat curves.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0766.14013">Zbl 0766.14013</a> </h3> <div class="source"> <a href="/serials/554" title="Journal Profile">Math. Ann.</a> <a href="/?q=in%3A10805" title="Articles in this Issue">294, No. 3, 503-511 (1992)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A7233">A.Pacheco (Rio de Janeiro)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A14G05" title="Rational points">14G05</a> <a class="mono" href="/classification/?q=cc%3A14H25" title="Arithmetic ground fields for curves">14H25</a> <a class="mono" href="/classification/?q=cc%3A11D41" title="Higher degree equations; Fermat’s equation">11D41</a> <a class="mono" href="/classification/?q=cc%3A11G05" title="Elliptic curves over global fields">11G05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0766.14013" data-ciurl="/ci/00086203" data-biburl="/bibtex/00086203.bib" data-amsurl="/amsrefs/00086203.bib" data-xmlurl="/xml/00086203.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00086203.pdf" title="Zbl 0766.14013 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/BF01934338" aria-label="DOI for “The arithmetic of Fermat curves”" title="10.1007/BF01934338">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://eudml.org/doc/165014" title="Open Access at EuDML">EuDML</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item4216099" value="4216099" aria-label="mark item Zbl 0738.11031"></div> <div class="author"><a href="/authors/agoh.takashi" title="Author Profile">Agoh, Takashi</a></div> <h3 class="title"> <a href="/0738.11031"><strong>Some variations and consequences of the Kummer-Mirimanoff congruences.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0738.11031">Zbl 0738.11031</a> </h3> <div class="source"> <a href="/serials/278" title="Journal Profile">Acta Arith.</a> <a href="/?q=in%3A10736" title="Articles in this Issue">62, No. 1, 73-96 (1992)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=T%2A+Agoh">T.Agoh (Tokyo)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11D41" title="Higher degree equations; Fermat’s equation">11D41</a> <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> <a class="mono" href="/classification/?q=cc%3A11B68" title="Bernoulli and Euler numbers and polynomials">11B68</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0738.11031" data-ciurl="/ci/04216099" data-biburl="/bibtex/04216099.bib" data-amsurl="/amsrefs/04216099.bib" data-xmlurl="/xml/04216099.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/04216099.pdf" title="Zbl 0738.11031 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4064/aa-62-1-73-96" aria-label="DOI for “Some variations and consequences of the Kummer-Mirimanoff congruences”" title="10.4064/aa-62-1-73-96">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://eudml.org/doc/206481" title="Open Access at EuDML">EuDML</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item205866" value="205866" aria-label="mark item Zbl 0783.11010"></div> <div class="author"><a href="/authors/sun.zhihong" title="Author Profile">Sun, Zhihong</a></div> <h3 class="title"> <a href="/0783.11010"><strong>Combinatorial sum \({\displaystyle \sum_{k=0 \atop k \equiv r \pmod m}^ n {n \choose k}}\) and its application in number theory. I.</strong></a> <i>(Chinese. English summary)</i> <a class="label nowrap" href="/0783.11010">Zbl 0783.11010</a> </h3> <div class="source"> <a href="/serials/1020" title="Journal Profile">J. Nanjing Univ., Math. Biq.</a> <a href="/?q=in%3A12940" title="Articles in this Issue">9, No. 2, 227-240 (1992)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11B65" title="Binomial coefficients; factorials; \(q\)-identities">11B65</a> <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0783.11010" data-ciurl="/ci/00205866" data-biburl="/bibtex/00205866.bib" data-amsurl="/amsrefs/00205866.bib" data-xmlurl="/xml/00205866.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00205866.pdf" title="Zbl 0783.11010 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item4136027" value="4136027" aria-label="mark item Zbl 0694.10014"></div> <div class="author"><a href="/authors/granville.andrew-j" title="Author Profile">Granville, Andrew</a>; <a href="/authors/shank.herbert-s" title="Author Profile">Shank, H. S.</a></div> <h3 class="title"> <a href="/0694.10014"><strong>Defining Bernoulli polynomials in \(\mathbb Z/p\mathbb Z\) (a generic regularity condition).</strong></a> <i>(English)</i> <a class="label nowrap" href="/0694.10014">Zbl 0694.10014</a> </h3> <div class="source"> <a href="/serials/623" title="Journal Profile">Proc. Am. Math. Soc.</a> <a href="/?q=in%3A155309" title="Articles in this Issue">108, No. 3, 637-640 (1990)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A3894">Tauno Metsänkylä (Turku)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11B68" title="Bernoulli and Euler numbers and polynomials">11B68</a> <a class="mono" href="/classification/?q=cc%3A11A15" title="Power residues, reciprocity">11A15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0694.10014" data-ciurl="/ci/04136027" data-biburl="/bibtex/04136027.bib" data-amsurl="/amsrefs/04136027.bib" data-xmlurl="/xml/04136027.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/04136027.pdf" title="Zbl 0694.10014 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.2307/2047782" aria-label="DOI for “Defining Bernoulli polynomials in \(\mathbb Z/p\mathbb Z\) (a generic regularity condition)”" title="10.2307/2047782">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item4069024" value="4069024" aria-label="mark item Zbl 0655.12008"></div> <div class="author"><a href="/authors/hatada.kazuyuki" title="Author Profile">Hatada, Kazuyuki</a></div> <h3 class="title"> <a href="/0655.12008"><strong>Chi-square tests for mod 1 distribution of Fermat and Fibonacci quotients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0655.12008">Zbl 0655.12008</a> </h3> <div class="source"> <a href="/serials/1164" title="Journal Profile">Sci. Rep. Fac. Educ., Gifu Univ., Nat. Sci.</a> <a href="/?q=in%3A154117" title="Articles in this Issue">12, 1-2 (1988)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=I%2A+Sh+Slavutskij">I.Sh.Slavutskij</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11S40" title="Zeta functions and \(L\)-functions">11S40</a> <a class="mono" href="/classification/?q=cc%3A11R11" title="Quadratic extensions">11R11</a> <a class="mono" href="/classification/?q=cc%3A11R23" title="Iwasawa theory">11R23</a> <a class="mono" href="/classification/?q=cc%3A11K06" title="General theory of distribution modulo \(1\)">11K06</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0655.12008" data-ciurl="/ci/04069024" data-biburl="/bibtex/04069024.bib" data-amsurl="/amsrefs/04069024.bib" data-xmlurl="/xml/04069024.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/04069024.pdf" title="Zbl 0655.12008 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item4033823" value="4033823" aria-label="mark item Zbl 0635.10013"></div> <div class="author"><a href="/authors/ribenboim.paulo" title="Author Profile">Ribenboim, P.</a></div> <h3 class="title"> <a href="/0635.10013"><strong>Powerless in face of the powers. (Impuissants devant les puissances.)</strong></a> <i>(French)</i> <a class="label nowrap" href="/0635.10013">Zbl 0635.10013</a> </h3> <div class="source"> <a href="/serials/1689" title="Journal Profile">Expo. Math.</a> <a href="/?q=in%3A166968" title="Articles in this Issue">6, No. 1, 3-28 (1988)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A2321">D.R.Heath-Brown</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11D41" title="Higher degree equations; Fermat’s equation">11D41</a> <a class="mono" href="/classification/?q=cc%3A11A51" title="Factorization; primality">11A51</a> <a class="mono" href="/classification/?q=cc%3A11-02" title="Research exposition (monographs, survey articles) pertaining to number theory">11-02</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0635.10013" data-ciurl="/ci/04033823" data-biburl="/bibtex/04033823.bib" data-amsurl="/amsrefs/04033823.bib" data-xmlurl="/xml/04033823.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/04033823.pdf" title="Zbl 0635.10013 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item4043964" value="4043964" aria-label="mark item Zbl 0641.12008"></div> <div class="author"><a href="/authors/hatada.kazuyuki" title="Author Profile">Hatada, Kazuyuki</a></div> <h3 class="title"> <a href="/0641.12008"><strong>Mod 1 distribution of Fermat and Fibonacci quotients and values of zeta functions at 2-p.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0641.12008">Zbl 0641.12008</a> </h3> <div class="source"> <a href="/serials/390" title="Journal Profile">Comment. Math. Univ. St. Pauli</a> <a href="/?q=in%3A153718" title="Articles in this Issue">36, 41-51 (1987)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=I%2A+Sh+Slavutskij">I.Sh.Slavutskij</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11S40" title="Zeta functions and \(L\)-functions">11S40</a> <a class="mono" href="/classification/?q=cc%3A11R23" title="Iwasawa theory">11R23</a> <a class="mono" href="/classification/?q=cc%3A11R18" title="Cyclotomic extensions">11R18</a> <a class="mono" href="/classification/?q=cc%3A11R80" title="Totally real fields">11R80</a> <a class="mono" href="/classification/?q=cc%3A11R11" title="Quadratic extensions">11R11</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0641.12008" data-ciurl="/ci/04043964" data-biburl="/bibtex/04043964.bib" data-amsurl="/amsrefs/04043964.bib" data-xmlurl="/xml/04043964.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/04043964.pdf" title="Zbl 0641.12008 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item3961835" value="3961835" aria-label="mark item Zbl 0597.14038"></div> <div class="author"><a href="/authors/de-shalit.ehud" title="Author Profile">de Shalit, Ehud</a></div> <h3 class="title"> <a href="/0597.14038"><strong>On monomial relations between p-adic periods.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0597.14038">Zbl 0597.14038</a> </h3> <div class="source"> <a href="/serials/520" title="Journal Profile">J. Reine Angew. Math.</a> <a href="/?q=in%3A152087" title="Articles in this Issue">374, 193-207 (1987)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A14K22" title="Complex multiplication and abelian varieties">14K22</a> <a class="mono" href="/classification/?q=cc%3A14G20" title="Local ground fields in algebraic geometry">14G20</a> <a class="mono" href="/classification/?q=cc%3A32G20" title="Period matrices, variation of Hodge structure; degenerations">32G20</a> <a class="mono" href="/classification/?q=cc%3A14H45" title="Special algebraic curves and curves of low genus">14H45</a> <a class="mono" href="/classification/?q=cc%3A14A20" title="Generalizations (algebraic spaces, stacks)">14A20</a> <a class="mono" href="/classification/?q=cc%3A14C30" title="Transcendental methods, Hodge theory (algebro-geometric aspects)">14C30</a> <a class="mono" href="/classification/?q=cc%3A14K15" title="Arithmetic ground fields for abelian varieties">14K15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0597.14038" data-ciurl="/ci/03961835" data-biburl="/bibtex/03961835.bib" data-amsurl="/amsrefs/03961835.bib" data-xmlurl="/xml/03961835.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/03961835.pdf" title="Zbl 0597.14038 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1515/crll.1987.374.193" aria-label="DOI for “On monomial relations between p-adic periods”" title="10.1515/crll.1987.374.193">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002204231" title="Open Access at DigiZeitschriften">Crelle</a> <a class="btn btn-default btn-xs" type="button" href="https://eudml.org/doc/152898" title="Open Access at EuDML">EuDML</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item3983380" value="3983380" aria-label="mark item Zbl 0608.14037"></div> <div class="author"><a href="/authors/aoki.noboru" title="Author Profile">Aoki, Noboru</a></div> <h3 class="title"> <a href="/0608.14037"><strong>A note on complete intersections of Fermat type.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0608.14037">Zbl 0608.14037</a> </h3> <div class="source"> <a href="/serials/390" title="Journal Profile">Comment. Math. Univ. St. Pauli</a> <a href="/?q=in%3A151735" title="Articles in this Issue">35, 231-245 (1986)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A2099">E.Stagnaro</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A14M10" title="Complete intersections">14M10</a> <a class="mono" href="/classification/?q=cc%3A14J25" title="Special surfaces">14J25</a> <a class="mono" href="/classification/?q=cc%3A14L30" title="Group actions on varieties or schemes (quotients)">14L30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0608.14037" data-ciurl="/ci/03983380" data-biburl="/bibtex/03983380.bib" data-amsurl="/amsrefs/03983380.bib" data-xmlurl="/xml/03983380.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/03983380.pdf" title="Zbl 0608.14037 as PDF">Review PDF</a> </div> <div class="fulltexts"> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item3897022" value="3897022" aria-label="mark item Zbl 0563.10013"></div> <div class="author"><a href="/authors/fouche.willem-louw" title="Author Profile">Fouché, Willem L.</a></div> <h3 class="title"> <a href="/0563.10013"><strong>On the p-adic zeros of polynomials with Bernoulli coefficients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0563.10013">Zbl 0563.10013</a> </h3> <div class="source"> <a href="/serials/336" title="Journal Profile">Arch. Math.</a> <a href="/?q=in%3A149639" title="Articles in this Issue">45, 534-537 (1985)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11B39" title="Fibonacci and Lucas numbers and polynomials and generalizations">11B39</a> <a class="mono" href="/classification/?q=cc%3A11S05" title="Polynomials">11S05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0563.10013" data-ciurl="/ci/03897022" data-biburl="/bibtex/03897022.bib" data-amsurl="/amsrefs/03897022.bib" data-xmlurl="/xml/03897022.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/03897022.pdf" title="Zbl 0563.10013 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/BF01194893" aria-label="DOI for “On the p-adic zeros of polynomials with Bernoulli coefficients”" title="10.1007/BF01194893">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item3889628" value="3889628" aria-label="mark item Zbl 0558.10013"></div> <div class="author"><a href="/authors/fouche.willem-louw" title="Author Profile">Fouché, Willem</a></div> <h3 class="title"> <a href="/0558.10013"><strong>A reciprocity law for polynomials with Bernoulli coefficients.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0558.10013">Zbl 0558.10013</a> </h3> <div class="source"> <a href="/serials/744" title="Journal Profile">Trans. Am. Math. Soc.</a> <a href="/?q=in%3A148833" title="Articles in this Issue">288, 59-67 (1985)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A5378">A.R.Rajwade</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11B39" title="Fibonacci and Lucas numbers and polynomials and generalizations">11B39</a> <a class="mono" href="/classification/?q=cc%3A11R18" title="Cyclotomic extensions">11R18</a> <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> <a class="mono" href="/classification/?q=cc%3A11R23" title="Iwasawa theory">11R23</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0558.10013" data-ciurl="/ci/03889628" data-biburl="/bibtex/03889628.bib" data-amsurl="/amsrefs/03889628.bib" data-xmlurl="/xml/03889628.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/03889628.pdf" title="Zbl 0558.10013 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.2307/2000426" aria-label="DOI for “A reciprocity law for polynomials with Bernoulli coefficients”" title="10.2307/2000426">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item3845729" value="3845729" aria-label="mark item Zbl 0533.14001"></div> <div class="author"><a href="/authors/morrison.david-r.1" title="Author Profile">Morrison, David R.</a></div> <h3 class="title"> <a href="/0533.14001"><strong>Canonical quotient singularities in dimension three.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0533.14001">Zbl 0533.14001</a> </h3> <div class="source"> <a href="/serials/623" title="Journal Profile">Proc. Am. Math. Soc.</a> <a href="/?q=in%3A148691" title="Articles in this Issue">93, 393-396 (1985)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A14B05" title="Singularities in algebraic geometry">14B05</a> <a class="mono" href="/classification/?q=cc%3A14L30" title="Group actions on varieties or schemes (quotients)">14L30</a> <a class="mono" href="/classification/?q=cc%3A14L24" title="Geometric invariant theory">14L24</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0533.14001" data-ciurl="/ci/03845729" data-biburl="/bibtex/03845729.bib" data-amsurl="/amsrefs/03845729.bib" data-xmlurl="/xml/03845729.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/03845729.pdf" title="Zbl 0533.14001 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.2307/2045598" aria-label="DOI for “Canonical quotient singularities in dimension three”" title="10.2307/2045598">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item3863297" value="3863297" aria-label="mark item Zbl 0543.10027"></div> <div class="author"><a href="/authors/fouche.willem-louw" title="Author Profile">Fouché, W. L.</a></div> <h3 class="title"> <a href="/0543.10027"><strong>Arithmetic properties of Heilbronn sums.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0543.10027">Zbl 0543.10027</a> </h3> <div class="source"> <a href="/serials/512" title="Journal Profile">J. Number Theory</a> <a href="/?q=in%3A149311" title="Articles in this Issue">19, 1-6 (1984)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A2971">S.Kotov</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11L03" title="Trigonometric and exponential sums (general theory)">11L03</a> <a class="mono" href="/classification/?q=cc%3A11R18" title="Cyclotomic extensions">11R18</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0543.10027" data-ciurl="/ci/03863297" data-biburl="/bibtex/03863297.bib" data-amsurl="/amsrefs/03863297.bib" data-xmlurl="/xml/03863297.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/03863297.pdf" title="Zbl 0543.10027 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/0022-314X(84)90088-X" aria-label="DOI for “Arithmetic properties of Heilbronn sums”" title="10.1016/0022-314X(84)90088-X">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item3815728" value="3815728" aria-label="mark item Zbl 0516.10001"></div> <div class="author"><a href="/authors/ribenboim.paulo" title="Author Profile">Ribenboim, P.</a></div> <h3 class="title"> <a href="/0516.10001"><strong>“1093”.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0516.10001">Zbl 0516.10001</a> </h3> <div class="source"> <a href="/serials/264" title="Journal Profile">Math. Intell.</a> <a href="/?q=in%3A164238" title="Articles in this Issue">5, No. 2, 28-34 (1983)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A1613">Charles Small (Kingston/Ontario)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A11-01" title="Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory">11-01</a> <a class="mono" href="/classification/?q=cc%3A11A07" title="Congruences; primitive roots; residue systems">11A07</a> <a class="mono" href="/classification/?q=cc%3A11A41" title="Primes">11A41</a> <a class="mono" href="/classification/?q=cc%3A11-03" title="History of number theory">11-03</a> <a class="mono" href="/classification/?q=cc%3A11B68" title="Bernoulli and Euler numbers and polynomials">11B68</a> <a class="mono" href="/classification/?q=cc%3A11R11" title="Quadratic extensions">11R11</a> <a class="mono" href="/classification/?q=cc%3A11R29" title="Class numbers, class groups, 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