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authors, serials or software respectively. It offers a convenient form optimized for ease of use. The one-line search on the other hand allows for free logical combinations of all available search fields (see the list of operators) and is much more flexible. </p> <h3>Multi-Line Search</h3> <p> The default search on zbMATH Open is the multi-line search. Simply select the appropriate search field, enter your search terms and link them with the Boolean operators (AND, AND NOT, OR). If you enter several search terms in a search field, they are automatically linked with the AND operator. The Boolean operators are evaluated in order, i.e. from top to bottom. </p> <h3>One-Line Search</h3> <p style="margin-bottom: 1cm;"> In the following you will find a short explanation of available search fields. A simple search query without any specified field results in an anywhere search, which takes into account the fields listed under the heading "any". </p> <h4>List of operators</h4> <table style="margin-bottom: 1cm;"> <tr> <td><strong>a & b</strong></td> <td>Logical and (default)</td> </tr> <tr> <td><strong>a | b</strong></td> <td>Logical or</td> </tr> <tr> <td><strong>!ab</strong></td> <td>Logical not</td> </tr> <tr> <td><strong>abc*</strong></td> <td>Right wildcard</td> </tr> <tr> <td><strong>"ab c"</strong></td> <td>Phrase</td> </tr> <tr> <td><strong>(ab c)</strong></td> <td>Term grouping</td> </tr> </table> <h4>Examples</h4> <p style="margin-bottom: 1cm;"> There are various examples of typical one-line searches in each search facet (button "Help"). A very simple example is the following: <samp> <a href="/?q=au%3AHardy+Ramanujan+ti%3Aasymptotic">au:Hardy Ramanujan ti:asymptotic</a> </samp> </p> <h4>Documents search</h4> <p style="margin-bottom: 0.5cm;"> Use the Documents search to find documents on specific topics, by title or other characteristics. To find all publications by a specific author or from a specific journal you should instead use the respective search tab. </p> <h5>Most used fields</h5> <p style="margin-bottom: 0.5cm;"> The most common fields that are used in searching for zbMATH Open documents are summarized below. </p> <table> <tr> <td><strong>ab</strong></td> <td> </td> <td>Text from the summary or review (for phrases use “...”)</td> </tr> <tr> <td><strong>an</strong></td> <td> </td> <td>zbMATH ID, i.e.: preliminary ID, Zbl number, JFM number, ERAM number</td> </tr> <tr> <td><strong>au</strong></td> <td> </td> <td>Name(s) of the contributor(s)</td> </tr> <tr> <td><strong>br</strong></td> <td> </td> <td>Name of a person with biographic references (to find documents about the life or work)</td> </tr> <tr> <td><strong>cc</strong></td> <td> </td> <td>Code from the Mathematics Subject Classification (prefix with <strong>*</strong> to search only primary MSC)</td> </tr> <tr> <td><strong>dt</strong></td> <td> </td> <td>Type of the document: journal article (<em>dt:j</em>), collection article (<em>dt:a</em>), book (<em>dt:b</em>)</td> </tr> <tr> <td><strong>doi</strong></td> <td> </td> <td>Digital Object Identifier (DOI)</td> </tr> <tr> <td><strong>en</strong></td> <td> </td> <td>External document ID: DOI, arXiv ID, ISBN, and others</td> </tr> <tr> <td><strong>la</strong></td> <td> </td> <td>Language (use name, e.g., <em>la:French</em>, or <a href='https://en.wikipedia.org/wiki/ISO_639-1'>ISO 639-1</a>, e.g., <em>la:FR)</em></td> </tr> <tr> <td><strong>pu</strong></td> <td> </td> <td>Name of the publisher</td> </tr> <tr> <td><strong>py</strong></td> <td> </td> <td>Year of publication. Interval search with “-”</td> </tr> <tr> <td><strong>rv</strong></td> <td> </td> <td>Name or ID of the reviewer</td> </tr> <tr> <td><strong>so</strong></td> <td> </td> <td>Bibliographical source, e.g., serial title, volume/issue number, page range, year of publication, ISBN, etc.</td> </tr> <tr> <td><strong>sw</strong></td> <td> </td> <td>Name of software referred to in a document</td> </tr> <tr> <td><strong>ti</strong></td> <td> </td> <td>Title of the document</td> </tr> <tr> <td><strong>ut</strong></td> <td> </td> <td>Keywords</td> </tr> <tr class="general-help-any"> <td><strong>any</strong></td> <td> </td> <td>Includes ab, au, cc, en, rv, so, ti, ut</td> </tr> </table> <p style="margin-bottom: 0.5cm;"></p> <h5>Special fields</h5> <p style="margin-bottom: 0.5cm;"> Furthermore, some special search fields are available as well. </p> <table> <tr> <td><strong>arxiv</strong></td> <td> </td> <td>arXiv preprint number</td> </tr> <tr> <td><strong>ci</strong></td> <td> </td> <td>zbMATH ID of a document cited in summary or review</td> </tr> <tr> <td><strong>db</strong></td> <td> </td> <td>Database: documents in Zentralblatt f眉r Mathematik/zbMATH Open (<em>db:Zbl</em>), Jahrbuch 眉ber die Fortschritte der Mathematik (<em>db:JFM</em>), Crelle's Journal (<em>db:eram</em>), arXiv (<em>db:arxiv</em>)</td> </tr> <tr> <td><strong>ed</strong></td> <td> </td> <td>Name of the editor of a book or special issue</td> </tr> <tr> <td><strong>in</strong></td> <td> </td> <td>zbMATH ID of the corresponding issue</td> </tr> <tr> <td><strong>li</strong></td> <td> </td> <td>External link (URL)</td> </tr> <tr> <td><strong>na</strong></td> <td> </td> <td>Number of authors of the document in question. Interval search with “-”</td> </tr> <tr> <td><strong>pt</strong></td> <td> </td> <td>Reviewing state: Reviewed (<em>pt:r</em>), Title Only (<em>pt:t</em>), Pending (<em>pt:p</em>), Scanned Review (<em>pt:s</em>)</td> </tr> <tr> <td><strong>rft</strong></td> <td> </td> <td>Text from the references of a document (for phrases use “...”)</td> </tr> <tr> <td><strong>rn</strong></td> <td> </td> <td>Reviewer ID</td> </tr> <tr> <td><strong>se</strong></td> <td> </td> <td>Serial ID</td> </tr> <tr> <td><strong>si</strong></td> <td> </td> <td>swMATH ID of software referred to in a document</td> </tr> <tr> <td><strong>st</strong></td> <td> </td> <td>State: is cited (<em>st:c</em>), has references (<em>st:r</em>), has single author (<em>st:s</em>)</td> </tr> </table> <p style="margin-bottom: 1cm;"></p> <h4>Authors search</h4> <p style="margin-bottom: 0.5cm;"> Use the Authors search to find information on specific authors. Author profiles include indexed publications, co-authors, main fields, and a citation profile. </p> <table> <tr> <td><strong>ai</strong></td> <td> </td> <td>zbMATH author ID</td> </tr> <tr> <td><strong>au</strong></td> <td> </td> <td>Author name</td> </tr> <tr> <td><strong>aw</strong></td> <td> </td> <td>Name of an award (to find laureates)</td> </tr> <tr> <td><strong>cc</strong></td> <td> </td> <td>Main Fields of the author (given by first two MSC digits)</td> </tr> <tr> <td><strong>cm</strong></td> <td> </td> <td>Name of a collective (to find members of this collective)</td> </tr> <tr> <td><strong>co</strong></td> <td> </td> <td>Name of an author (to find collectives the author is a member of)</td> </tr> <tr> <td><strong>en</strong></td> <td> </td> <td>External author ID: ORCID, MGP, Wikidata object number and others</td> </tr> <tr> <td><strong>fn</strong></td> <td> </td> <td>First name</td> </tr> <tr> <td><strong>ln</strong></td> <td> </td> <td>Last name</td> </tr> <tr> <td><strong>py</strong></td> <td> </td> <td>Year(s) in which the author has published. Interval search with “-”</td> </tr> <tr> <td><strong>rv</strong></td> <td> </td> <td>Reviewer ID</td> </tr> <tr> <td><strong>st</strong></td> <td> </td> <td>State: has biographic references (<em>st:b</em>), is cited (<em>st:c</em>), is collective (st:o), has references (<em>st:r</em>)</td> </tr> <tr class="general-help-any"> <td><strong>any</strong></td> <td> </td> <td>Includes ai, au, aw, cc</td> </tr> </table> <p style="margin-bottom: 1cm;"></p> <h4>Serials search</h4> <p style="margin-bottom: 0.5cm;"> Use the Serials search to find information on journals or book series. Serial profiles include indexed publications, volume lists, frequent authors and subjects, open access status, and a citation profile. </p> <table> <tr> <td><strong>cc</strong></td> <td> </td> <td>Main fields of the serial (given by first two MSC digits)</td> </tr> <tr> <td><strong>cy</strong></td> <td> </td> <td>Country of the publisher (use name, e.g., <em>cy:France</em>, or <a href='https://en.wikipedia.org/wiki/List_of_ISO_3166_country_codes'>ISO 3166-1</a> codes, e.g., <em>cy:FR</em>)</td> </tr> <tr> <td><strong>jt</strong></td> <td> </td> <td>Title, acronym or short title</td> </tr> <tr> <td><strong>la</strong></td> <td> </td> <td>Languages of indexed documents (<em>la:French</em>, or <a href='https://en.wikipedia.org/wiki/ISO_639-1'>ISO 639-1</a> codes, e.g., <em>la:FR</em>)</td> </tr> <tr> <td><strong>li</strong></td> <td> </td> <td>External link (URL)</td> </tr> <tr> <td><strong>pu</strong></td> <td> </td> <td>Name/location of the publisher or editorial institution</td> </tr> <tr> <td><strong>py</strong></td> <td> </td> <td>Time period the serial was active. Interval search with “-”</td> </tr> <tr> <td><strong>se</strong></td> <td> </td> <td>zbMATH serial ID</td> </tr> <tr> <td><strong>sn</strong></td> <td> </td> <td>International Standard Serial Number (ISSN)</td> </tr> <tr> <td><strong>st</strong></td> <td> </td> <td>State: open access (<em>st:o</em>), electronic only (<em>st:e</em>), currently indexed (<em>st:v</em>), indexed cover to cover (<em>st:t</em>)</td> </tr> <tr> <td><strong>tp</strong></td> <td> </td> <td>Type: journal (<em>tp:j</em>), book series (<em>tp:b</em>)</td> </tr> <tr class="general-help-any"> <td><strong>any</strong></td> <td> </td> <td>Includes cc, cy, jt, la, li, pu, sn</td> </tr> </table> <p style="margin-bottom: 1cm;"></p> <h4>Software search</h4> <p style="margin-bottom: 0.5cm;"> Use the Software search to find information from the swMATH database on specific software and where it is used. </p> <table> <tr> <td><strong>ab</strong></td> <td> </td> <td>Text from the description</td> </tr> <tr> <td><strong>au</strong></td> <td> </td> <td>Name(s) of the author(s)</td> </tr> <tr> <td><strong>cc</strong></td> <td> </td> <td>Main fields of the software (given by first two MSC digits)</td> </tr> <tr> <td><strong>pl</strong></td> <td> </td> <td>Programming language the software is written in</td> </tr> <tr> <td><strong>si</strong></td> <td> </td> <td>swMATH software ID</td> </tr> <tr> <td><strong>sw</strong></td> <td> </td> <td>Software name</td> </tr> <tr> <td><strong>ut</strong></td> <td> </td> <td>Keywords</td> </tr> </table> <p style="margin-bottom: 1cm;"></p> <h4>Classification search</h4> <p> Use the Classification search to find codes from the latest revision of the Mathematics Subject Classification (MSC2020) by the first two, first three or all five MSC digits or text from the description. </p> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2024 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms & Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none"> <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>