Number Theory Nov 2021

<!DOCTYPE html> <html lang="en"> <head> <title>Number Theory Nov 2021</title> <meta name="viewport" content="width=device-width, initial-scale=1"> <link rel="apple-touch-icon" sizes="180x180" href="/static/browse/0.3.4/images/icons/apple-touch-icon.png"> <link rel="icon" type="image/png" sizes="32x32" href="/static/browse/0.3.4/images/icons/favicon-32x32.png"> <link rel="icon" type="image/png" sizes="16x16" href="/static/browse/0.3.4/images/icons/favicon-16x16.png"> <link rel="manifest" href="/static/browse/0.3.4/images/icons/site.webmanifest"> <link rel="mask-icon" href="/static/browse/0.3.4/images/icons/safari-pinned-tab.svg" color="#5bbad5"> <meta name="msapplication-TileColor" content="#da532c"> <meta name="theme-color" content="#ffffff"> <link rel="stylesheet" type="text/css" media="screen" href="/static/browse/0.3.4/css/arXiv.css?v=20241206" /> <link rel="stylesheet" type="text/css" media="print" href="/static/browse/0.3.4/css/arXiv-print.css?v=20200611" /> <link rel="stylesheet" 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<a href=/list/math.NT/2021-11?skip=0&show=25 rel="nofollow"> fewer</a> | <a href=/list/math.NT/2021-11?skip=0&show=100 rel="nofollow"> more</a> | <a href=/list/math.NT/2021-11?skip=0&show=2000 rel="nofollow"> all</a> </div> <dl id='articles'> <dt> <a name='item1'>[1]</a> <a href ="/abs/2111.00051" title="Abstract" id="2111.00051"> arXiv:2111.00051 </a> [<a href="/pdf/2111.00051" title="Download PDF" id="pdf-2111.00051" aria-labelledby="pdf-2111.00051">pdf</a>, <a href="/format/2111.00051" title="Other formats" id="oth-2111.00051" aria-labelledby="oth-2111.00051">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A unified approach to qMZVs </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Brindle,+B">Benjamin Brindle</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> Survey article, 37 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item2'>[2]</a> <a href ="/abs/2111.00058" title="Abstract" id="2111.00058"> arXiv:2111.00058 </a> [<a href="/pdf/2111.00058" title="Download PDF" id="pdf-2111.00058" aria-labelledby="pdf-2111.00058">pdf</a>, <a href="/format/2111.00058" title="Other formats" id="oth-2111.00058" aria-labelledby="oth-2111.00058">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Proving dualities for qMZVs with connected sums </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Brindle,+B">Benjamin Brindle</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 6 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item3'>[3]</a> <a href ="/abs/2111.00318" title="Abstract" id="2111.00318"> arXiv:2111.00318 </a> [<a href="/pdf/2111.00318" title="Download PDF" id="pdf-2111.00318" aria-labelledby="pdf-2111.00318">pdf</a>, <a href="https://arxiv.org/html/2111.00318v2" title="View HTML" id="html-2111.00318" aria-labelledby="html-2111.00318" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2111.00318" title="Other formats" id="oth-2111.00318" aria-labelledby="oth-2111.00318">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> An Ordinary Rank-Two Case of Local-Global Compatibility for Automorphic Representations of Arbitrary Weight Over CM Fields </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Yang,+Y">Yuji Yang</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item4'>[4]</a> <a href ="/abs/2111.00408" title="Abstract" id="2111.00408"> arXiv:2111.00408 </a> [<a href="/pdf/2111.00408" title="Download PDF" id="pdf-2111.00408" aria-labelledby="pdf-2111.00408">pdf</a>, <a href="/format/2111.00408" title="Other formats" id="oth-2111.00408" aria-labelledby="oth-2111.00408">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Primes in floor function sets </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Heyman,+R">Randell Heyman</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> A few corrections have been made </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item5'>[5]</a> <a href ="/abs/2111.00442" title="Abstract" id="2111.00442"> arXiv:2111.00442 </a> [<a href="/pdf/2111.00442" title="Download PDF" id="pdf-2111.00442" aria-labelledby="pdf-2111.00442">pdf</a>, <a href="/format/2111.00442" title="Other formats" id="oth-2111.00442" aria-labelledby="oth-2111.00442">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Ostrowski quotients for finite extensions of number fields </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Shahoseini,+E">Ehsan Shahoseini</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Rajaei,+A">Ali Rajaei</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Maarefparvar,+A">Abbas Maarefparvar</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 13 pages, 24 references </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Pacific J. Math. 321 (2022) 415-429 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item6'>[6]</a> <a href ="/abs/2111.00499" title="Abstract" id="2111.00499"> arXiv:2111.00499 </a> [<a href="/pdf/2111.00499" title="Download PDF" id="pdf-2111.00499" aria-labelledby="pdf-2111.00499">pdf</a>, <a href="/format/2111.00499" title="Other formats" id="oth-2111.00499" aria-labelledby="oth-2111.00499">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Indecomposable Algebraic Integers </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=van+Gent,+D+M">Dani毛l M.H. van Gent</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item7'>[7]</a> <a href ="/abs/2111.00617" title="Abstract" id="2111.00617"> arXiv:2111.00617 </a> [<a href="/pdf/2111.00617" title="Download PDF" id="pdf-2111.00617" aria-labelledby="pdf-2111.00617">pdf</a>, <a href="/format/2111.00617" title="Other formats" id="oth-2111.00617" aria-labelledby="oth-2111.00617">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Smallness of Faltings heights of CM abelian varieties </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Wei,+X">Xunjing Wei</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item8'>[8]</a> <a href ="/abs/2111.00671" title="Abstract" id="2111.00671"> arXiv:2111.00671 </a> [<a href="/pdf/2111.00671" title="Download PDF" id="pdf-2111.00671" aria-labelledby="pdf-2111.00671">pdf</a>, <a href="/format/2111.00671" title="Other formats" id="oth-2111.00671" aria-labelledby="oth-2111.00671">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Integer complexity: Stability and self-similarity </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Altman,+H">Harry Altman</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=de+Reyna,+J+A">Juan Arias de Reyna</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 38 pages; introduction rewritten to improve readability </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item9'>[9]</a> <a href ="/abs/2111.00696" title="Abstract" id="2111.00696"> arXiv:2111.00696 </a> [<a href="/pdf/2111.00696" title="Download PDF" id="pdf-2111.00696" aria-labelledby="pdf-2111.00696">pdf</a>, <a href="/format/2111.00696" title="Other formats" id="oth-2111.00696" aria-labelledby="oth-2111.00696">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Weyl-type bounds for twisted $GL(2)$ short character sums </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Ghosh,+A">Aritra Ghosh</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> Final verson, appeared in The Ramanujan Journal (2022) </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item10'>[10]</a> <a href ="/abs/2111.00756" title="Abstract" id="2111.00756"> arXiv:2111.00756 </a> [<a href="/pdf/2111.00756" title="Download PDF" id="pdf-2111.00756" aria-labelledby="pdf-2111.00756">pdf</a>, <a href="/format/2111.00756" title="Other formats" id="oth-2111.00756" aria-labelledby="oth-2111.00756">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Fourier-Jacobi expansion of cusp forms on $Sp(2,{\Bbb R})$ </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Narita,+H">Hiro-aki Narita</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item11'>[11]</a> <a href ="/abs/2111.00848" title="Abstract" id="2111.00848"> arXiv:2111.00848 </a> [<a href="/pdf/2111.00848" title="Download PDF" id="pdf-2111.00848" aria-labelledby="pdf-2111.00848">pdf</a>, <a href="/format/2111.00848" title="Other formats" id="oth-2111.00848" aria-labelledby="oth-2111.00848">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Higher moment formulae and limiting distributions of lattice points </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Alam,+M">Mahbub Alam</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Ghosh,+A">Anish Ghosh</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Han,+J">Jiyoung Han</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 39 pages </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> J. Inst. Math. Jussieu 23 (2024) 2081-2125 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Probability (math.PR) </div> </div> </dd> <dt> <a name='item12'>[12]</a> <a href ="/abs/2111.00853" title="Abstract" id="2111.00853"> arXiv:2111.00853 </a> [<a href="/pdf/2111.00853" title="Download PDF" id="pdf-2111.00853" aria-labelledby="pdf-2111.00853">pdf</a>, <a href="https://arxiv.org/html/2111.00853v3" title="View HTML" id="html-2111.00853" aria-labelledby="html-2111.00853" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2111.00853" title="Other formats" id="oth-2111.00853" aria-labelledby="oth-2111.00853">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The variance of integers without small prime factors in short intervals </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Gorodetsky,+O">Ofir Gorodetsky</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 24 pages, accepted version </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Math. Z. 308 (2024), no. 4, Paper No. 59 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item13'>[13]</a> <a href ="/abs/2111.00932" title="Abstract" id="2111.00932"> arXiv:2111.00932 </a> [<a href="/pdf/2111.00932" title="Download PDF" id="pdf-2111.00932" aria-labelledby="pdf-2111.00932">pdf</a>, <a href="/format/2111.00932" title="Other formats" id="oth-2111.00932" aria-labelledby="oth-2111.00932">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Algebraic Kaprekar routine architecture II </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Nuez,+F">Fernando Nuez</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 42 pages, 9 tables, 7 figures, 1 annex with three tables </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Combinatorics (math.CO) </div> </div> </dd> <dt> <a name='item14'>[14]</a> <a href ="/abs/2111.01002" title="Abstract" id="2111.01002"> arXiv:2111.01002 </a> [<a href="/pdf/2111.01002" title="Download PDF" id="pdf-2111.01002" aria-labelledby="pdf-2111.01002">pdf</a>, <a href="/format/2111.01002" title="Other formats" id="oth-2111.01002" aria-labelledby="oth-2111.01002">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A Polynomial Time Test to Detect Number with Many Exceptional Points </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Carpenter,+R">Ryan Carpenter</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Samuels,+C+L">Charles L. Samuels</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 12 pages </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Int. J. Number Theory 17 (2021), no. 4, 973-990 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item15'>[15]</a> <a href ="/abs/2111.01012" title="Abstract" id="2111.01012"> arXiv:2111.01012 </a> [<a href="/pdf/2111.01012" title="Download PDF" id="pdf-2111.01012" aria-labelledby="pdf-2111.01012">pdf</a>, <a href="/format/2111.01012" title="Other formats" id="oth-2111.01012" aria-labelledby="oth-2111.01012">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A classification of $\mathbb Q$-valued linear functionals on $\overline{\mathbb Q}^\times$ modulo units </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Samuels,+C+L">Charles L. Samuels</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 21 pages </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Acta Arith. 205 (2022), no.4, 341-370 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item16'>[16]</a> <a href ="/abs/2111.01018" title="Abstract" id="2111.01018"> arXiv:2111.01018 </a> [<a href="/pdf/2111.01018" title="Download PDF" id="pdf-2111.01018" aria-labelledby="pdf-2111.01018">pdf</a>, <a href="/format/2111.01018" title="Other formats" id="oth-2111.01018" aria-labelledby="oth-2111.01018">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Extremal sequences for a weighted zero-sum constant </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Mondal,+S">Santanu Mondal</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Paul,+K">Krishnendu Paul</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Paul,+S">Shameek Paul</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 18 pages. arXiv admin note: substantial text overlap with <a href="https://arxiv.org/abs/2110.02539" data-arxiv-id="2110.02539" class="link-https">arXiv:2110.02539</a> </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item17'>[17]</a> <a href ="/abs/2111.01021" title="Abstract" id="2111.01021"> arXiv:2111.01021 </a> [<a href="/pdf/2111.01021" title="Download PDF" id="pdf-2111.01021" aria-labelledby="pdf-2111.01021">pdf</a>, <a href="/format/2111.01021" title="Other formats" id="oth-2111.01021" aria-labelledby="oth-2111.01021">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Class fields generated by coordinates of elliptic curves </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Jung,+H+Y">Ho Yun Jung</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Koo,+J+K">Ja Kyung Koo</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Shin,+D+H">Dong Hwa Shin</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item18'>[18]</a> <a href ="/abs/2111.01044" title="Abstract" id="2111.01044"> arXiv:2111.01044 </a> [<a href="/pdf/2111.01044" title="Download PDF" id="pdf-2111.01044" aria-labelledby="pdf-2111.01044">pdf</a>, <a href="/format/2111.01044" title="Other formats" id="oth-2111.01044" aria-labelledby="oth-2111.01044">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Improved Constants for Effective Irrationality Measures from Hypergeometric Functions </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Voutier,+P">Paul Voutier</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> Author's version of published version </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Moscow J. Comb. Number Th. 11 (2022) 161-180 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Classical Analysis and ODEs (math.CA) </div> </div> </dd> <dt> <a name='item19'>[19]</a> <a href ="/abs/2111.01126" title="Abstract" id="2111.01126"> arXiv:2111.01126 </a> [<a href="/pdf/2111.01126" title="Download PDF" id="pdf-2111.01126" aria-labelledby="pdf-2111.01126">pdf</a>, <a href="/format/2111.01126" title="Other formats" id="oth-2111.01126" aria-labelledby="oth-2111.01126">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> $\ell$-Galois special subvarieties and the Mumford-Tate conjecture </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Kreutz,+T">Tobias Kreutz</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> added application to the absolute Mumford-Tate conjecture for projective hypersurfaces, and a section on the conjectural local structure </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Algebraic Geometry (math.AG) </div> </div> </dd> <dt> <a name='item20'>[20]</a> <a href ="/abs/2111.01481" title="Abstract" id="2111.01481"> arXiv:2111.01481 </a> [<a href="/pdf/2111.01481" title="Download PDF" id="pdf-2111.01481" aria-labelledby="pdf-2111.01481">pdf</a>, <a href="/format/2111.01481" title="Other formats" id="oth-2111.01481" aria-labelledby="oth-2111.01481">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The supersingular isogeny path and endomorphism ring problems are equivalent </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Wesolowski,+B">Benjamin Wesolowski</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> FOCS 2021 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Cryptography and Security (cs.CR) </div> </div> </dd> <dt> <a name='item21'>[21]</a> <a href ="/abs/2111.01509" title="Abstract" id="2111.01509"> arXiv:2111.01509 </a> [<a href="/pdf/2111.01509" title="Download PDF" id="pdf-2111.01509" aria-labelledby="pdf-2111.01509">pdf</a>, <a href="/format/2111.01509" title="Other formats" id="oth-2111.01509" aria-labelledby="oth-2111.01509">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Equidistribution of rational points and the geometric sieve for toric varieties </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Huang,+Z">Zhizhong Huang</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> Exposition revised, one more application added. Comments welcome </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Algebraic Geometry (math.AG) </div> </div> </dd> <dt> <a name='item22'>[22]</a> <a href ="/abs/2111.01559" title="Abstract" id="2111.01559"> arXiv:2111.01559 </a> [<a href="/pdf/2111.01559" title="Download PDF" id="pdf-2111.01559" aria-labelledby="pdf-2111.01559">pdf</a>, <a href="/format/2111.01559" title="Other formats" id="oth-2111.01559" aria-labelledby="oth-2111.01559">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On Ribet's Lemma for $\mathrm{GL}_2$ modulo prime powers </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Ophir,+A">Amit Ophir</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Weiss,+A">Ariel Weiss</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 21 pages. Revised following referee comments. To appear in Research in the Mathematical Sciences </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Res Math Sci 11, 9 (2024) </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Representation Theory (math.RT) </div> </div> </dd> <dt> <a name='item23'>[23]</a> <a href ="/abs/2111.01565" title="Abstract" id="2111.01565"> arXiv:2111.01565 </a> [<a href="/pdf/2111.01565" title="Download PDF" id="pdf-2111.01565" aria-labelledby="pdf-2111.01565">pdf</a>, <a href="/format/2111.01565" title="Other formats" id="oth-2111.01565" aria-labelledby="oth-2111.01565">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Two torsion, the endomorphism field, and the finitude of endomorphism algebras for a class of abelian varieties </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Goodman,+P">Pip Goodman</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 14 pages. A few minor changes, one of which leads to the geometrically reducible case in Theorem 1.1 being possible for at most six genera. Comments welcome! </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item24'>[24]</a> <a href ="/abs/2111.01601" title="Abstract" id="2111.01601"> arXiv:2111.01601 </a> [<a href="/pdf/2111.01601" title="Download PDF" id="pdf-2111.01601" aria-labelledby="pdf-2111.01601">pdf</a>, <a href="/format/2111.01601" title="Other formats" id="oth-2111.01601" aria-labelledby="oth-2111.01601">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Additive problems with almost prime squares </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Blomer,+V">Valentin Blomer</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Grimmelt,+L">Lasse Grimmelt</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Li,+J">Junxian Li</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Myerson,+S+L+R">Simon L. Rydin Myerson</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 50 pages. We would like to thank the referee for a number of helpful suggestions including clarifications to the proof of Lemma 2.2 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item25'>[25]</a> <a href ="/abs/2111.01661" title="Abstract" id="2111.01661"> arXiv:2111.01661 </a> [<a href="/pdf/2111.01661" title="Download PDF" id="pdf-2111.01661" aria-labelledby="pdf-2111.01661">pdf</a>, <a href="/format/2111.01661" title="Other formats" id="oth-2111.01661" aria-labelledby="oth-2111.01661">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Cyclotomic matrices and hypergeometric functions over finite fields </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Wu,+H">Hai-Liang Wu</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=She,+Y">Yue-Feng She</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Wang,+L">Li-Yuan Wang</a></div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Finite Fields and Their Applications 82 (2022), Article 102054 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item26'>[26]</a> <a href ="/abs/2111.01843" title="Abstract" id="2111.01843"> arXiv:2111.01843 </a> [<a href="/pdf/2111.01843" title="Download PDF" id="pdf-2111.01843" aria-labelledby="pdf-2111.01843">pdf</a>, <a href="/format/2111.01843" title="Other formats" id="oth-2111.01843" aria-labelledby="oth-2111.01843">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Visibility Properties of Spiral Sets </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Adiceam,+F">Faustin Adiceam</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Tsokanos,+I">Ioannis Tsokanos</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> Updated with comments from the referee </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Moscow J. Comb. Number Th. 11 (2022) 149-159 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Geometric Topology (math.GT) </div> </div> </dd> <dt> <a name='item27'>[27]</a> <a href ="/abs/2111.01844" title="Abstract" id="2111.01844"> arXiv:2111.01844 </a> [<a href="/pdf/2111.01844" title="Download PDF" id="pdf-2111.01844" aria-labelledby="pdf-2111.01844">pdf</a>, <a href="/format/2111.01844" title="Other formats" id="oth-2111.01844" aria-labelledby="oth-2111.01844">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Ramanujan-type systems of nonlinear ODEs for $螕_0(2)$ and $螕_0(3)$ </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Nikdelan,+Y">Younes Nikdelan</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 21 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item28'>[28]</a> <a href ="/abs/2111.01870" title="Abstract" id="2111.01870"> arXiv:2111.01870 </a> [<a href="/pdf/2111.01870" title="Download PDF" id="pdf-2111.01870" aria-labelledby="pdf-2111.01870">pdf</a>, <a href="/format/2111.01870" title="Other formats" id="oth-2111.01870" aria-labelledby="oth-2111.01870">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Lower Bounds for the Canonical Height of a Unicritical Polynomial and Capacity </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Habegger,+P">Philipp Habegger</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Schmidt,+H">Harry Schmidt</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> Comments welcome </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item29'>[29]</a> <a href ="/abs/2111.01887" title="Abstract" id="2111.01887"> arXiv:2111.01887 </a> [<a href="/pdf/2111.01887" title="Download PDF" id="pdf-2111.01887" aria-labelledby="pdf-2111.01887">pdf</a>, <a href="/format/2111.01887" title="Other formats" id="oth-2111.01887" aria-labelledby="oth-2111.01887">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On a Problem of Steinhaus </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Anholcer,+M">Marcin Anholcer</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Bosek,+B">Bart艂omiej Bosek</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Grytczuk,+J">Jaros艂aw Grytczuk</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Gutowski,+G">Grzegorz Gutowski</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Przyby%C5%82o,+J">Jakub Przyby艂o</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Pyzik,+R">Rafa艂 Pyzik</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Zaj%C4%85c,+M">Mariusz Zaj膮c</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 16 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Combinatorics (math.CO) </div> </div> </dd> <dt> <a name='item30'>[30]</a> <a href ="/abs/2111.01893" title="Abstract" id="2111.01893"> arXiv:2111.01893 </a> [<a href="/pdf/2111.01893" title="Download PDF" id="pdf-2111.01893" aria-labelledby="pdf-2111.01893">pdf</a>, <a href="/format/2111.01893" title="Other formats" id="oth-2111.01893" aria-labelledby="oth-2111.01893">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The sup-norm problem beyond the newform </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Assing,+E">Edgar Assing</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 29 pages, 1 table; v2: revised version incorporating suggestions by a referee </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Math. Proc. Camb. Phil. Soc. 176 (2024) 517-545 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item31'>[31]</a> <a href ="/abs/2111.02103" title="Abstract" id="2111.02103"> arXiv:2111.02103 </a> [<a href="/pdf/2111.02103" title="Download PDF" id="pdf-2111.02103" aria-labelledby="pdf-2111.02103">pdf</a>, <a href="/format/2111.02103" title="Other formats" id="oth-2111.02103" aria-labelledby="oth-2111.02103">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A congruence concerning a convolution involving weighted Bernoulli numbers </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Levaillant,+C+I">Claire I. Levaillant</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 12 pages, 22 references </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Combinatorics (math.CO) </div> </div> </dd> <dt> <a name='item32'>[32]</a> <a href ="/abs/2111.02297" title="Abstract" id="2111.02297"> arXiv:2111.02297 </a> [<a href="/pdf/2111.02297" title="Download PDF" id="pdf-2111.02297" aria-labelledby="pdf-2111.02297">pdf</a>, <a href="https://arxiv.org/html/2111.02297v2" title="View HTML" id="html-2111.02297" aria-labelledby="html-2111.02297" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2111.02297" title="Other formats" id="oth-2111.02297" aria-labelledby="oth-2111.02297">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Spectral reciprocity for $\mathrm{GL}(n)$ and simultaneous non-vanishing of central $L$-values </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Jana,+S">Subhajit Jana</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Nunes,+R">Ramon Nunes</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 62 pages, to appear in American Journal of Math </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item33'>[33]</a> <a href ="/abs/2111.02562" title="Abstract" id="2111.02562"> arXiv:2111.02562 </a> [<a href="/pdf/2111.02562" title="Download PDF" id="pdf-2111.02562" aria-labelledby="pdf-2111.02562">pdf</a>, <a href="/format/2111.02562" title="Other formats" id="oth-2111.02562" aria-labelledby="oth-2111.02562">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On the density of a set of primes associated to an Elliptic Curve </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Arala,+N">Nuno Arala</a></div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Journal of Number Theory, 243, 241-255 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item34'>[34]</a> <a href ="/abs/2111.02635" title="Abstract" id="2111.02635"> arXiv:2111.02635 </a> [<a href="/pdf/2111.02635" title="Download PDF" id="pdf-2111.02635" aria-labelledby="pdf-2111.02635">pdf</a>, <a href="/format/2111.02635" title="Other formats" id="oth-2111.02635" aria-labelledby="oth-2111.02635">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The 3x+1 Problem: An Overview </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Lagarias,+J+C">Jeffrey C. Lagarias</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 27 pages; page breaks and stylefile differ from published version; some typos corrected, journal references updated </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> The Ultimate Challenge: The 3x+1 Problem, Edited by Jeffrey C. Lagarias. American Mathematical Society, Providence RI 2010, pp. 3--29 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Combinatorics (math.CO); History and Overview (math.HO) </div> </div> </dd> <dt> <a name='item35'>[35]</a> <a href ="/abs/2111.02746" title="Abstract" id="2111.02746"> arXiv:2111.02746 </a> [<a href="/pdf/2111.02746" title="Download PDF" id="pdf-2111.02746" aria-labelledby="pdf-2111.02746">pdf</a>, <a href="/format/2111.02746" title="Other formats" id="oth-2111.02746" aria-labelledby="oth-2111.02746">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On a conjecture of Sun involving powers of three </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Yang,+Q">Quan-Hui Yang</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Zhao,+L">Lilu Zhao</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item36'>[36]</a> <a href ="/abs/2111.02756" title="Abstract" id="2111.02756"> arXiv:2111.02756 </a> [<a href="/pdf/2111.02756" title="Download PDF" id="pdf-2111.02756" aria-labelledby="pdf-2111.02756">pdf</a>, <a href="/format/2111.02756" title="Other formats" id="oth-2111.02756" aria-labelledby="oth-2111.02756">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A further generalisation of sums of higher derivatives of the Riemann Zeta Function </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Pearce-Crump,+A">Andrew Pearce-Crump</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item37'>[37]</a> <a href ="/abs/2111.02773" title="Abstract" id="2111.02773"> arXiv:2111.02773 </a> [<a href="/pdf/2111.02773" title="Download PDF" id="pdf-2111.02773" aria-labelledby="pdf-2111.02773">pdf</a>, <a href="/format/2111.02773" title="Other formats" id="oth-2111.02773" aria-labelledby="oth-2111.02773">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Danzer's Problem, Effective Constructions of Dense Forests and Digital Sequences </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Tsokanos,+I">Ioannis Tsokanos</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 12 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Computational Geometry (cs.CG) </div> </div> </dd> <dt> <a name='item38'>[38]</a> <a href ="/abs/2111.02792" title="Abstract" id="2111.02792"> arXiv:2111.02792 </a> [<a href="/pdf/2111.02792" title="Download PDF" id="pdf-2111.02792" aria-labelledby="pdf-2111.02792">pdf</a>, <a href="/format/2111.02792" title="Other formats" id="oth-2111.02792" aria-labelledby="oth-2111.02792">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Pseudodifferential arithmetic and the Riemann hypothesis: reminders </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Unterberger,+A">Andr茅 Unterberger</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> this paper is entirely contained in <a href="https://arxiv.org/abs/2208.12937" data-arxiv-id="2208.12937" class="link-https">arXiv:2208.12937</a> </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item39'>[39]</a> <a href ="/abs/2111.02795" title="Abstract" id="2111.02795"> arXiv:2111.02795 </a> [<a href="/pdf/2111.02795" title="Download PDF" id="pdf-2111.02795" aria-labelledby="pdf-2111.02795">pdf</a>, <a href="/format/2111.02795" title="Other formats" id="oth-2111.02795" aria-labelledby="oth-2111.02795">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Prime Sums </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Datta,+A">Anupam Datta</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Elber,+N">Nir Elber</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Feng,+R">Raymond Feng</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Lowry-Duda,+D">David Lowry-Duda</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Xie,+H">Henry Xie</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> Preliminary version. The authors expect to add moderate modifications to the style and content. 18 pages, 11 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item40'>[40]</a> <a href ="/abs/2111.02832" title="Abstract" id="2111.02832"> arXiv:2111.02832 </a> [<a href="/pdf/2111.02832" title="Download PDF" id="pdf-2111.02832" aria-labelledby="pdf-2111.02832">pdf</a>, <a href="/format/2111.02832" title="Other formats" id="oth-2111.02832" aria-labelledby="oth-2111.02832">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Automating John P. D'Angelo's method to study Complete Polynomial Sequences </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Ekhad,+S+B">Shalosh B. Ekhad</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Zeilberger,+D">Doron Zeilberger</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 6 pages; accompanied by a Maple package available from <a href="https://sites.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/jpda.html" rel="external noopener nofollow" class="link-external link-https">this https URL</a> Exclusively published in the Personal Journal of Shalosh B. Ekhad and Doron Zeilberger and <a href="http://arxiv.org" class="link-internal link-http">arxiv.org</a> </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Combinatorics (math.CO); Complex Variables (math.CV) </div> </div> </dd> <dt> <a name='item41'>[41]</a> <a href ="/abs/2111.02933" title="Abstract" id="2111.02933"> arXiv:2111.02933 </a> [<a href="/pdf/2111.02933" title="Download PDF" id="pdf-2111.02933" aria-labelledby="pdf-2111.02933">pdf</a>, <a href="/format/2111.02933" title="Other formats" id="oth-2111.02933" aria-labelledby="oth-2111.02933">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On an tangent equation by primes </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Dimitrov,+S+I">S. I. Dimitrov</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> arXiv admin note: text overlap with <a href="https://arxiv.org/abs/2110.08539" data-arxiv-id="2110.08539" class="link-https">arXiv:2110.08539</a> </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item42'>[42]</a> <a href ="/abs/2111.03345" title="Abstract" id="2111.03345"> arXiv:2111.03345 </a> [<a href="/pdf/2111.03345" title="Download PDF" id="pdf-2111.03345" aria-labelledby="pdf-2111.03345">pdf</a>, <a href="/format/2111.03345" title="Other formats" id="oth-2111.03345" aria-labelledby="oth-2111.03345">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Complexity of natural numbers </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=de+Reyna,+J+A">J. Arias de Reyna</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 21 pages </div> <div class='list-journal-ref'><span class='descriptor'>Journal-ref:</span> Translation of Complejidad de los n\'umeros naturales, Gaceta R. S. Mat. Espa\~nola 3 (2000) 230--250 </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item43'>[43]</a> <a href ="/abs/2111.03546" title="Abstract" id="2111.03546"> arXiv:2111.03546 </a> [<a href="/pdf/2111.03546" title="Download PDF" id="pdf-2111.03546" aria-labelledby="pdf-2111.03546">pdf</a>, <a href="/format/2111.03546" title="Other formats" id="oth-2111.03546" aria-labelledby="oth-2111.03546">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Persistence of the Brauer-Manin obstruction on cubic surfaces </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Rivera,+C">Carlos Rivera</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Viray,+B">Bianca Viray</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 6 pages; clarified notation and improved exposition </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Algebraic Geometry (math.AG) </div> </div> </dd> <dt> <a name='item44'>[44]</a> <a href ="/abs/2111.03548" title="Abstract" id="2111.03548"> arXiv:2111.03548 </a> [<a href="/pdf/2111.03548" title="Download PDF" id="pdf-2111.03548" aria-labelledby="pdf-2111.03548">pdf</a>, <a href="/format/2111.03548" title="Other formats" id="oth-2111.03548" aria-labelledby="oth-2111.03548">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Spectrum of p-adic linear differential equations I: The shape of the spectrum </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Azzouz,+T+A">Tinhinane A. Azzouz</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 46 pages. The comments are welcome. In this new version the main result is rewritten in a more explicit way </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Spectral Theory (math.SP) </div> </div> </dd> <dt> <a name='item45'>[45]</a> <a href ="/abs/2111.03586" title="Abstract" id="2111.03586"> arXiv:2111.03586 </a> [<a href="/pdf/2111.03586" title="Download PDF" id="pdf-2111.03586" aria-labelledby="pdf-2111.03586">pdf</a>, <a href="/format/2111.03586" title="Other formats" id="oth-2111.03586" aria-labelledby="oth-2111.03586">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Growth in Sumsets of Higher Convex Functions </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Bradshaw,+P+J">Peter J. Bradshaw</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 18 pages, comments welcome </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Combinatorics (math.CO) </div> </div> </dd> <dt> <a name='item46'>[46]</a> <a href ="/abs/2111.03684" title="Abstract" id="2111.03684"> arXiv:2111.03684 </a> [<a href="/pdf/2111.03684" title="Download PDF" id="pdf-2111.03684" aria-labelledby="pdf-2111.03684">pdf</a>, <a href="/format/2111.03684" title="Other formats" id="oth-2111.03684" aria-labelledby="oth-2111.03684">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Dense packings via lifts of codes to division rings </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Gargava,+N">Nihar Gargava</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Serban,+V">Vlad Serban</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item47'>[47]</a> <a href ="/abs/2111.03723" title="Abstract" id="2111.03723"> arXiv:2111.03723 </a> [<a href="/pdf/2111.03723" title="Download PDF" id="pdf-2111.03723" aria-labelledby="pdf-2111.03723">pdf</a>, <a href="https://arxiv.org/html/2111.03723v7" title="View HTML" id="html-2111.03723" aria-labelledby="html-2111.03723" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2111.03723" title="Other formats" id="oth-2111.03723" aria-labelledby="oth-2111.03723">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On the Selmer group and rank of a family of elliptic curves and curves of genus one violating the Hasse principle </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Agathocleous,+E">Eleni Agathocleous</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> To appear in the Journal of Number Theory </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item48'>[48]</a> <a href ="/abs/2111.03834" title="Abstract" id="2111.03834"> arXiv:2111.03834 </a> [<a href="/pdf/2111.03834" title="Download PDF" id="pdf-2111.03834" aria-labelledby="pdf-2111.03834">pdf</a>, <a href="https://arxiv.org/html/2111.03834v2" title="View HTML" id="html-2111.03834" aria-labelledby="html-2111.03834" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2111.03834" title="Other formats" id="oth-2111.03834" aria-labelledby="oth-2111.03834">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Wide moments of $L$-functions II: Dirichlet $L$-functions </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Nordentoft,+A+C">Asbj酶rn Christian Nordentoft</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> Proposition 2.4 in the previous version was wrong (note that this does not affect any of the results stated in the introduction). We have corrected the statement and proof, 20 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item49'>[49]</a> <a href ="/abs/2111.03982" title="Abstract" id="2111.03982"> arXiv:2111.03982 </a> [<a href="/pdf/2111.03982" title="Download PDF" id="pdf-2111.03982" aria-labelledby="pdf-2111.03982">pdf</a>, <a href="/format/2111.03982" title="Other formats" id="oth-2111.03982" aria-labelledby="oth-2111.03982">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A Secondary Term for $D_4$ Quartic Fields Ordered By Conductor </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Friedrichsen,+M">Matthew Friedrichsen</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 25 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> <dt> <a name='item50'>[50]</a> <a href ="/abs/2111.04034" title="Abstract" id="2111.04034"> arXiv:2111.04034 </a> [<a href="/pdf/2111.04034" title="Download PDF" id="pdf-2111.04034" aria-labelledby="pdf-2111.04034">pdf</a>, <a href="/format/2111.04034" title="Other formats" id="oth-2111.04034" aria-labelledby="oth-2111.04034">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A Survey on Coefficients of Cyclotomic Polynomials </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Sanna,+C">Carlo Sanna</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> </dl> <div class='paging'>Total of 292 entries : <span>1-50</span> <a href=/list/math.NT/2021-11?skip=50&show=50>51-100</a> <a href=/list/math.NT/2021-11?skip=100&show=50>101-150</a> <a href=/list/math.NT/2021-11?skip=150&show=50>151-200</a> <span>...</span> <a href=/list/math.NT/2021-11?skip=250&show=50>251-292</a> </div> <div class='morefewer'>Showing up to 50 entries per page: <a href=/list/math.NT/2021-11?skip=0&show=25 rel="nofollow"> fewer</a> | <a href=/list/math.NT/2021-11?skip=0&show=100 rel="nofollow"> more</a> | <a href=/list/math.NT/2021-11?skip=0&show=2000 rel="nofollow"> all</a> </div> </div> </div> </div> </main> <footer style="clear: both;"> <div class="columns is-desktop" role="navigation" aria-label="Secondary" style="margin: -0.75em -0.75em 0.75em -0.75em">  <div class="column" style="padding: 0;"> <div class="columns"> <div class="column"> <ul style="list-style: none; 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Number Theory Nov 2021