Number Theory

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href="/list/math.NT/recent?skip=57&show=50"> Mon, 17 Mar 2025 </a> </li></ul> <p>See today's <a id="new-math.NT" aria-labelledby="new-math.NT" href="/list/math.NT/new">new</a> changes</p> <div class='paging'>Total of 64 entries : <span>1-50</span> <a href=/list/math.NT/recent?skip=50&show=50>51-64</a> </div> <div class='morefewer'>Showing up to 50 entries per page: <a href=/list/math.NT/recent?skip=0&show=25 rel="nofollow"> fewer</a> | <span style="color: #454545">more</span> | <a href=/list/math.NT/recent?skip=0&show=2000 rel="nofollow"> all</a> </div> <dl id='articles'> <h3>Fri, 21 Mar 2025 (showing 9 of 9 entries )</h3> <dt> <a name='item1'>[1]</a> <a href ="/abs/2503.16343" title="Abstract" id="2503.16343"> arXiv:2503.16343 </a> [<a href="/pdf/2503.16343" title="Download PDF" id="pdf-2503.16343" aria-labelledby="pdf-2503.16343">pdf</a>, <a href="https://arxiv.org/html/2503.16343v1" title="View HTML" id="html-2503.16343" aria-labelledby="html-2503.16343" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.16343" title="Other formats" id="oth-2503.16343" aria-labelledby="oth-2503.16343">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A Lyapunov exponent attached to modular functions </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Bengoechea,+P">Paloma Bengoechea</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Herrero,+S">Sebasti谩n Herrero</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Imamoglu,+%C3%96">脰zlem Imamoglu</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Dynamical Systems (math.DS) </div> </div> </dd> <dt> <a name='item2'>[2]</a> <a href ="/abs/2503.16330" title="Abstract" id="2503.16330"> arXiv:2503.16330 </a> [<a href="/pdf/2503.16330" title="Download PDF" id="pdf-2503.16330" aria-labelledby="pdf-2503.16330">pdf</a>, <a href="https://arxiv.org/html/2503.16330v1" title="View HTML" id="html-2503.16330" aria-labelledby="html-2503.16330" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.16330" title="Other formats" id="oth-2503.16330" aria-labelledby="oth-2503.16330">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> If a machine did it, it is probably transcendental (even $p$-adically) </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Capuano,+L">Laura Capuano</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Checcoli,+S">Sara Checcoli</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Mula,+M">Marzio Mula</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Terracini,+L">Lea Terracini</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 32 pages, comments are 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='item3'>[3]</a> <a href ="/abs/2503.16077" title="Abstract" id="2503.16077"> arXiv:2503.16077 </a> [<a href="/pdf/2503.16077" title="Download PDF" id="pdf-2503.16077" aria-labelledby="pdf-2503.16077">pdf</a>, <a href="https://arxiv.org/html/2503.16077v1" title="View HTML" id="html-2503.16077" aria-labelledby="html-2503.16077" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.16077" title="Other formats" id="oth-2503.16077" aria-labelledby="oth-2503.16077">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On continued fraction maps associated with a submodule of $\mathfrak o(\sqrt{-3})$ </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Hitoshi,+N">Nakada Hitoshi</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Rie,+N">Natsui Rie</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Mako,+T">Toyosumi Mako</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 19 pages, 8 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='item4'>[4]</a> <a href ="/abs/2503.16019" title="Abstract" id="2503.16019"> arXiv:2503.16019 </a> [<a href="/pdf/2503.16019" title="Download PDF" id="pdf-2503.16019" aria-labelledby="pdf-2503.16019">pdf</a>, <a href="https://arxiv.org/html/2503.16019v1" title="View HTML" id="html-2503.16019" aria-labelledby="html-2503.16019" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.16019" title="Other formats" id="oth-2503.16019" aria-labelledby="oth-2503.16019">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Explaining Unforeseen Congruence Relationships Between PEND and POND Partitions via an Atkin--Lehner Involution </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Sellers,+J+A">James A. Sellers</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Smoot,+N+A">Nicolas Allen Smoot</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='item5'>[5]</a> <a href ="/abs/2503.15833" title="Abstract" id="2503.15833"> arXiv:2503.15833 </a> [<a href="/pdf/2503.15833" title="Download PDF" id="pdf-2503.15833" aria-labelledby="pdf-2503.15833">pdf</a>, <a href="https://arxiv.org/html/2503.15833v1" title="View HTML" id="html-2503.15833" aria-labelledby="html-2503.15833" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.15833" title="Other formats" id="oth-2503.15833" aria-labelledby="oth-2503.15833">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Smyth's conjecture and a non-deterministic Hasse principle </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Ellenberg,+J+S">Jordan S. Ellenberg</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Hardt,+W">Will Hardt</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 31 pages, 1 figure </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='item6'>[6]</a> <a href ="/abs/2503.15832" title="Abstract" id="2503.15832"> arXiv:2503.15832 </a> [<a href="/pdf/2503.15832" title="Download PDF" id="pdf-2503.15832" aria-labelledby="pdf-2503.15832">pdf</a>, <a href="https://arxiv.org/html/2503.15832v1" title="View HTML" id="html-2503.15832" aria-labelledby="html-2503.15832" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.15832" title="Other formats" id="oth-2503.15832" aria-labelledby="oth-2503.15832">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The positivity technique and low-lying zeros of Dirichlet $L$-functions </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Zhao,+T">Tianyu 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='item7'>[7]</a> <a href ="/abs/2503.15789" title="Abstract" id="2503.15789"> arXiv:2503.15789 </a> [<a href="/pdf/2503.15789" title="Download PDF" id="pdf-2503.15789" aria-labelledby="pdf-2503.15789">pdf</a>, <a href="https://arxiv.org/html/2503.15789v1" title="View HTML" id="html-2503.15789" aria-labelledby="html-2503.15789" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.15789" title="Other formats" id="oth-2503.15789" aria-labelledby="oth-2503.15789">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Distribution of $胃-$powers and their sums </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Iyer,+S">Siddharth Iyer</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 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='item8'>[8]</a> <a href ="/abs/2503.15727" title="Abstract" id="2503.15727"> arXiv:2503.15727 </a> [<a href="/pdf/2503.15727" title="Download PDF" id="pdf-2503.15727" aria-labelledby="pdf-2503.15727">pdf</a>, <a href="https://arxiv.org/html/2503.15727v1" title="View HTML" id="html-2503.15727" aria-labelledby="html-2503.15727" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.15727" title="Other formats" id="oth-2503.15727" aria-labelledby="oth-2503.15727">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Greenberg's conjecture and Iwasawa module of Real biquadratic fields I </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Chems-Eddin,+M+M">Mohamed Mahmoud Chems-Eddin</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 33 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='item9'>[9]</a> <a href ="/abs/2503.15714" title="Abstract" id="2503.15714"> arXiv:2503.15714 </a> [<a href="/pdf/2503.15714" title="Download PDF" id="pdf-2503.15714" aria-labelledby="pdf-2503.15714">pdf</a>, <a href="https://arxiv.org/html/2503.15714v1" title="View HTML" id="html-2503.15714" aria-labelledby="html-2503.15714" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.15714" title="Other formats" id="oth-2503.15714" aria-labelledby="oth-2503.15714">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On Eswarathasan--Levine and Boyd's conjectures for harmonic numbers </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Carofiglio,+L">Leonardo Carofiglio</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Cherubini,+G">Giacomo Cherubini</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Gambini,+A">Alessandro Gambini</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span> </div> </div> </dd> </dl> <dl id='articles'> <h3>Thu, 20 Mar 2025 (showing 12 of 12 entries )</h3> <dt> <a name='item10'>[10]</a> <a href ="/abs/2503.15449" title="Abstract" id="2503.15449"> arXiv:2503.15449 </a> [<a href="/pdf/2503.15449" title="Download PDF" id="pdf-2503.15449" aria-labelledby="pdf-2503.15449">pdf</a>, <a href="https://arxiv.org/html/2503.15449v1" title="View HTML" id="html-2503.15449" aria-labelledby="html-2503.15449" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.15449" title="Other formats" id="oth-2503.15449" aria-labelledby="oth-2503.15449">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Pair Correlation Conjecture for the zeros of the Riemann zeta-function I: simple and critical zeros </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Goldston,+D+A">Daniel Alan Goldston</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Lee,+J">Junghun Lee</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Schettler,+J">Jordan Schettler</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Suriajaya,+A+I">Ade Irma Suriajaya</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 9 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='item11'>[11]</a> <a href ="/abs/2503.15428" title="Abstract" id="2503.15428"> arXiv:2503.15428 </a> [<a href="/pdf/2503.15428" title="Download PDF" id="pdf-2503.15428" aria-labelledby="pdf-2503.15428">pdf</a>, <a href="https://arxiv.org/html/2503.15428v1" title="View HTML" id="html-2503.15428" aria-labelledby="html-2503.15428" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.15428" title="Other formats" id="oth-2503.15428" aria-labelledby="oth-2503.15428">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Division polynomials for arbitrary isogenies </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Stange,+K+E">Katherine E. Stange</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>; Cryptography and Security (cs.CR); Algebraic Geometry (math.AG) </div> </div> </dd> <dt> <a name='item12'>[12]</a> <a href ="/abs/2503.15408" title="Abstract" id="2503.15408"> arXiv:2503.15408 </a> [<a href="/pdf/2503.15408" title="Download PDF" id="pdf-2503.15408" aria-labelledby="pdf-2503.15408">pdf</a>, <a href="https://arxiv.org/html/2503.15408v1" title="View HTML" id="html-2503.15408" aria-labelledby="html-2503.15408" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.15408" title="Other formats" id="oth-2503.15408" aria-labelledby="oth-2503.15408">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Hasse norm principle for Heisenberg extensions of degree $p^3$ </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Hoshi,+A">Akinari Hoshi</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Yamasaki,+A">Aiichi Yamasaki</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 17 pages. arXiv admin note: substantial text overlap with <a href="https://arxiv.org/abs/2503.14365" data-arxiv-id="2503.14365" class="link-https">arXiv:2503.14365</a>; text overlap with <a href="https://arxiv.org/abs/2404.01362" data-arxiv-id="2404.01362" class="link-https">arXiv:2404.01362</a> </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='item13'>[13]</a> <a href ="/abs/2503.15123" title="Abstract" id="2503.15123"> arXiv:2503.15123 </a> [<a href="/pdf/2503.15123" title="Download PDF" id="pdf-2503.15123" aria-labelledby="pdf-2503.15123">pdf</a>, <a href="https://arxiv.org/html/2503.15123v1" title="View HTML" id="html-2503.15123" aria-labelledby="html-2503.15123" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.15123" title="Other formats" id="oth-2503.15123" aria-labelledby="oth-2503.15123">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Locally and Polar Harmonic Maass Forms for Orthogonal Groups of Signature $(2, n)$ </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Kiefer,+P">Paul Kiefer</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 26 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='item14'>[14]</a> <a href ="/abs/2503.15097" title="Abstract" id="2503.15097"> arXiv:2503.15097 </a> [<a href="/pdf/2503.15097" title="Download PDF" id="pdf-2503.15097" aria-labelledby="pdf-2503.15097">pdf</a>, <a href="https://arxiv.org/html/2503.15097v1" title="View HTML" id="html-2503.15097" aria-labelledby="html-2503.15097" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.15097" title="Other formats" id="oth-2503.15097" aria-labelledby="oth-2503.15097">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Sums of nearest integer continued fractions with bounded digits: $\textrm{NICF}_5 + \textrm{NICF}_5 = {\mathbb R}$ </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Bosma,+W">Wieb Bosma</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Brouwers,+A">Alex Brouwers</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 25 pages, 6 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='item15'>[15]</a> <a href ="/abs/2503.15040" title="Abstract" id="2503.15040"> arXiv:2503.15040 </a> [<a href="/pdf/2503.15040" title="Download PDF" id="pdf-2503.15040" aria-labelledby="pdf-2503.15040">pdf</a>, <a href="https://arxiv.org/html/2503.15040v1" title="View HTML" id="html-2503.15040" aria-labelledby="html-2503.15040" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.15040" title="Other formats" id="oth-2503.15040" aria-labelledby="oth-2503.15040">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Generation of Hecke fields by squares of cyclotomic twists of modular $L$-values </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=Burungale,+A">Ashay Burungale</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Michel,+P">Philippe Michel</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Min,+J">Jun-Hwi Min</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='item16'>[16]</a> <a href ="/abs/2503.14930" title="Abstract" id="2503.14930"> arXiv:2503.14930 </a> [<a href="/pdf/2503.14930" title="Download PDF" id="pdf-2503.14930" aria-labelledby="pdf-2503.14930">pdf</a>, <a href="https://arxiv.org/html/2503.14930v1" title="View HTML" id="html-2503.14930" aria-labelledby="html-2503.14930" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.14930" title="Other formats" id="oth-2503.14930" aria-labelledby="oth-2503.14930">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Hermite numbers and new families of polynomials </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Dattoli,+G">Giuseppe Dattoli</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Khan,+S">Subuhi Khan</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Ahmad,+U">Ujair Ahmad</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 13 pages, 4 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='item17'>[17]</a> <a href ="/abs/2503.14850" title="Abstract" id="2503.14850"> arXiv:2503.14850 </a> [<a href="/pdf/2503.14850" title="Download PDF" id="pdf-2503.14850" aria-labelledby="pdf-2503.14850">pdf</a>, <a href="https://arxiv.org/html/2503.14850v1" title="View HTML" id="html-2503.14850" aria-labelledby="html-2503.14850" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.14850" title="Other formats" id="oth-2503.14850" aria-labelledby="oth-2503.14850">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Schur multiple zeta-functions of Hurwitz type </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Matsumoto,+K">Kohji Matsumoto</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Nakasuji,+M">Maki Nakasuji</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 25pages </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/2503.14680" title="Abstract" id="2503.14680"> arXiv:2503.14680 </a> [<a href="/pdf/2503.14680" title="Download PDF" id="pdf-2503.14680" aria-labelledby="pdf-2503.14680">pdf</a>, <a href="https://arxiv.org/html/2503.14680v1" title="View HTML" id="html-2503.14680" aria-labelledby="html-2503.14680" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.14680" title="Other formats" id="oth-2503.14680" aria-labelledby="oth-2503.14680">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Moment of Derivatives of Quadratic Twists of Modular $L$-Functions </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Zhou,+Z">Zijie Zhou</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='item19'>[19]</a> <a href ="/abs/2503.14510" title="Abstract" id="2503.14510"> arXiv:2503.14510 </a> [<a href="/pdf/2503.14510" title="Download PDF" id="pdf-2503.14510" aria-labelledby="pdf-2503.14510">pdf</a>, <a href="https://arxiv.org/html/2503.14510v1" title="View HTML" id="html-2503.14510" aria-labelledby="html-2503.14510" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.14510" title="Other formats" id="oth-2503.14510" aria-labelledby="oth-2503.14510">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The inter-universal Teichm眉ller theory and new Diophantine results over the rational numbers. I </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Zhou,+Z">Zhong-Peng Zhou</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='item20'>[20]</a> <a href ="/abs/2503.15425" title="Abstract" id="2503.15425"> arXiv:2503.15425 </a> (cross-list from math.CO) [<a href="/pdf/2503.15425" title="Download PDF" id="pdf-2503.15425" aria-labelledby="pdf-2503.15425">pdf</a>, <a href="https://arxiv.org/html/2503.15425v2" title="View HTML" id="html-2503.15425" aria-labelledby="html-2503.15425" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.15425" title="Other formats" id="oth-2503.15425" aria-labelledby="oth-2503.15425">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On Log-Concave Operator Acting on Sequences and Series </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Giacomelli,+P">Piero Giacomelli</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> v1. Improved and correct some typhos </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Combinatorics (math.CO)</span>; Number Theory (math.NT) </div> </div> </dd> <dt> <a name='item21'>[21]</a> <a href ="/abs/2503.15175" title="Abstract" id="2503.15175"> arXiv:2503.15175 </a> (cross-list from math.DS) [<a href="/pdf/2503.15175" title="Download PDF" id="pdf-2503.15175" aria-labelledby="pdf-2503.15175">pdf</a>, <a href="https://arxiv.org/html/2503.15175v1" title="View HTML" id="html-2503.15175" aria-labelledby="html-2503.15175" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.15175" title="Other formats" id="oth-2503.15175" aria-labelledby="oth-2503.15175">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Decomposition results for multiplicative actions and applications </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Frantzikinakis,+N">Nikos Frantzikinakis</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 46 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Dynamical Systems (math.DS)</span>; Combinatorics (math.CO); Number Theory (math.NT) </div> </div> </dd> </dl> <dl id='articles'> <h3>Wed, 19 Mar 2025 (showing 11 of 11 entries )</h3> <dt> <a name='item22'>[22]</a> <a href ="/abs/2503.14413" title="Abstract" id="2503.14413"> arXiv:2503.14413 </a> [<a href="/pdf/2503.14413" title="Download PDF" id="pdf-2503.14413" aria-labelledby="pdf-2503.14413">pdf</a>, <a href="https://arxiv.org/html/2503.14413v1" title="View HTML" id="html-2503.14413" aria-labelledby="html-2503.14413" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.14413" title="Other formats" id="oth-2503.14413" aria-labelledby="oth-2503.14413">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Rational functions sharing preimages and height functions </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Pakovich,+F">Fedor Pakovich</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Algebraic Geometry (math.AG); Complex Variables (math.CV); Dynamical Systems (math.DS) </div> </div> </dd> <dt> <a name='item23'>[23]</a> <a href ="/abs/2503.14365" title="Abstract" id="2503.14365"> arXiv:2503.14365 </a> [<a href="/pdf/2503.14365" title="Download PDF" id="pdf-2503.14365" aria-labelledby="pdf-2503.14365">pdf</a>, <a href="https://arxiv.org/html/2503.14365v2" title="View HTML" id="html-2503.14365" aria-labelledby="html-2503.14365" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.14365" title="Other formats" id="oth-2503.14365" aria-labelledby="oth-2503.14365">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Hasse norm principle for metacyclic extensions with trivial Schur multiplier </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Hoshi,+A">Akinari Hoshi</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Yamasaki,+A">Aiichi Yamasaki</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 16 pages. Proposition 4.1, Section 5 and Section 6 are modified. arXiv admin note: substantial text overlap with <a href="https://arxiv.org/abs/2404.01362" data-arxiv-id="2404.01362" class="link-https">arXiv:2404.01362</a>, <a href="https://arxiv.org/abs/1910.01469" data-arxiv-id="1910.01469" class="link-https">arXiv:1910.01469</a>, <a href="https://arxiv.org/abs/2003.08253" data-arxiv-id="2003.08253" class="link-https">arXiv:2003.08253</a> </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='item24'>[24]</a> <a href ="/abs/2503.14361" title="Abstract" id="2503.14361"> arXiv:2503.14361 </a> [<a href="/pdf/2503.14361" title="Download PDF" id="pdf-2503.14361" aria-labelledby="pdf-2503.14361">pdf</a>, <a href="https://arxiv.org/html/2503.14361v1" title="View HTML" id="html-2503.14361" aria-labelledby="html-2503.14361" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.14361" title="Other formats" id="oth-2503.14361" aria-labelledby="oth-2503.14361">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Multiplicity of Laplacian eigenvalues that can be represented by sum of two squares using number theory </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Zhou,+C">Changfeng Zhou</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Wang,+T">Taige Wang</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Analysis of PDEs (math.AP) </div> </div> </dd> <dt> <a name='item25'>[25]</a> <a href ="/abs/2503.14318" title="Abstract" id="2503.14318"> arXiv:2503.14318 </a> [<a href="/pdf/2503.14318" title="Download PDF" id="pdf-2503.14318" aria-labelledby="pdf-2503.14318">pdf</a>, <a href="/format/2503.14318" title="Other formats" id="oth-2503.14318" aria-labelledby="oth-2503.14318">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Variation of height in an isogeny class over a function field </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Griffon,+R">Richard Griffon</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Fourn,+S+L">Samuel Le Fourn</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Pazuki,+F">Fabien Pazuki</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 30 pages. Comments are very 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='item26'>[26]</a> <a href ="/abs/2503.14176" title="Abstract" id="2503.14176"> arXiv:2503.14176 </a> [<a href="/pdf/2503.14176" title="Download PDF" id="pdf-2503.14176" aria-labelledby="pdf-2503.14176">pdf</a>, <a href="https://arxiv.org/html/2503.14176v1" title="View HTML" id="html-2503.14176" aria-labelledby="html-2503.14176" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.14176" title="Other formats" id="oth-2503.14176" aria-labelledby="oth-2503.14176">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On the mean square of the error term for the number of lattice points in a two-dimensional area </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Jia,+L">Lirui Jia</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Zhai,+W">Wenguang Zhai</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='item27'>[27]</a> <a href ="/abs/2503.14052" title="Abstract" id="2503.14052"> arXiv:2503.14052 </a> [<a href="/pdf/2503.14052" title="Download PDF" id="pdf-2503.14052" aria-labelledby="pdf-2503.14052">pdf</a>, <a href="https://arxiv.org/html/2503.14052v1" title="View HTML" id="html-2503.14052" aria-labelledby="html-2503.14052" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.14052" title="Other formats" id="oth-2503.14052" aria-labelledby="oth-2503.14052">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Bogomolov property for Galois representations with big local image </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Conti,+A">Andrea Conti</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Terracini,+L">Lea Terracini</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 33 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/2503.13995" title="Abstract" id="2503.13995"> arXiv:2503.13995 </a> [<a href="/pdf/2503.13995" title="Download PDF" id="pdf-2503.13995" aria-labelledby="pdf-2503.13995">pdf</a>, <a href="https://arxiv.org/html/2503.13995v1" title="View HTML" id="html-2503.13995" aria-labelledby="html-2503.13995" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.13995" title="Other formats" id="oth-2503.13995" aria-labelledby="oth-2503.13995">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Equidistribution of divergent diagonal orbits in positive characteristic </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Dang,+N">Nguyen-Thi Dang</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Paulin,+F">Fr茅d茅ric Paulin</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Sayous,+R">Rafael Sayous</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 54 pages, 5 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Dynamical Systems (math.DS); Group Theory (math.GR) </div> </div> </dd> <dt> <a name='item29'>[29]</a> <a href ="/abs/2503.13993" title="Abstract" id="2503.13993"> arXiv:2503.13993 </a> [<a href="/pdf/2503.13993" title="Download PDF" id="pdf-2503.13993" aria-labelledby="pdf-2503.13993">pdf</a>, <a href="https://arxiv.org/html/2503.13993v1" title="View HTML" id="html-2503.13993" aria-labelledby="html-2503.13993" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.13993" title="Other formats" id="oth-2503.13993" aria-labelledby="oth-2503.13993">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On a Diophantine Inequality with Primes Yielding Square-Free Sums with Given Numbers </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Peneva,+T+P">Temenoujka P. Peneva</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Todorova,+T+L">Tatiana L. Todorova</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='item30'>[30]</a> <a href ="/abs/2503.13768" title="Abstract" id="2503.13768"> arXiv:2503.13768 </a> [<a href="/pdf/2503.13768" title="Download PDF" id="pdf-2503.13768" aria-labelledby="pdf-2503.13768">pdf</a>, <a href="https://arxiv.org/html/2503.13768v1" title="View HTML" id="html-2503.13768" aria-labelledby="html-2503.13768" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.13768" title="Other formats" id="oth-2503.13768" aria-labelledby="oth-2503.13768">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Counting integer matrices with square-free determinants </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Ostafe,+A">Alina Ostafe</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Shparlinski,+I+E">Igor E. Shparlinski</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='item31'>[31]</a> <a href ="/abs/2503.14099" title="Abstract" id="2503.14099"> arXiv:2503.14099 </a> (cross-list from math.AG) [<a href="/pdf/2503.14099" title="Download PDF" id="pdf-2503.14099" aria-labelledby="pdf-2503.14099">pdf</a>, <a href="https://arxiv.org/html/2503.14099v1" title="View HTML" id="html-2503.14099" aria-labelledby="html-2503.14099" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.14099" title="Other formats" id="oth-2503.14099" aria-labelledby="oth-2503.14099">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A local version of the arithmetic Hodge index theorem over quasiprojective varieties </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Abboud,+M">Marc Abboud</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Geometry (math.AG)</span>; Number Theory (math.NT) </div> </div> </dd> <dt> <a name='item32'>[32]</a> <a href ="/abs/2503.14041" title="Abstract" id="2503.14041"> arXiv:2503.14041 </a> (cross-list from math.AG) [<a href="/pdf/2503.14041" title="Download PDF" id="pdf-2503.14041" aria-labelledby="pdf-2503.14041">pdf</a>, <a href="https://arxiv.org/html/2503.14041v1" title="View HTML" id="html-2503.14041" aria-labelledby="html-2503.14041" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.14041" title="Other formats" id="oth-2503.14041" aria-labelledby="oth-2503.14041">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A pro-茅tale-to-de Rham comparison theorem for curves </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Gilles,+S">Sally Gilles</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">Algebraic Geometry (math.AG)</span>; Number Theory (math.NT) </div> </div> </dd> </dl> <dl id='articles'> <h3>Tue, 18 Mar 2025 (showing first 18 of 25 entries )</h3> <dt> <a name='item33'>[33]</a> <a href ="/abs/2503.13378" title="Abstract" id="2503.13378"> arXiv:2503.13378 </a> [<a href="/pdf/2503.13378" title="Download PDF" id="pdf-2503.13378" aria-labelledby="pdf-2503.13378">pdf</a>, <a href="https://arxiv.org/html/2503.13378v1" title="View HTML" id="html-2503.13378" aria-labelledby="html-2503.13378" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.13378" title="Other formats" id="oth-2503.13378" aria-labelledby="oth-2503.13378">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Exercises in Iterational Asymptotics III </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Finch,+S">Steven Finch</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 12 pages, 6 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Discrete Mathematics (cs.DM); Combinatorics (math.CO) </div> </div> </dd> <dt> <a name='item34'>[34]</a> <a href ="/abs/2503.13295" title="Abstract" id="2503.13295"> arXiv:2503.13295 </a> [<a href="/pdf/2503.13295" title="Download PDF" id="pdf-2503.13295" aria-labelledby="pdf-2503.13295">pdf</a>, <a href="https://arxiv.org/html/2503.13295v1" title="View HTML" id="html-2503.13295" aria-labelledby="html-2503.13295" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.13295" title="Other formats" id="oth-2503.13295" aria-labelledby="oth-2503.13295">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Noncommutative factorizations of higher sine functions in positive characteristic </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Green,+N">Nathan Green</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Pellarin,+F">Federico Pellarin</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 59 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='item35'>[35]</a> <a href ="/abs/2503.12861" title="Abstract" id="2503.12861"> arXiv:2503.12861 </a> [<a href="/pdf/2503.12861" title="Download PDF" id="pdf-2503.12861" aria-labelledby="pdf-2503.12861">pdf</a>, <a href="https://arxiv.org/html/2503.12861v1" title="View HTML" id="html-2503.12861" aria-labelledby="html-2503.12861" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12861" title="Other formats" id="oth-2503.12861" aria-labelledby="oth-2503.12861">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Cubic congruences and binary quadratic forms </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Sun,+Z">Zhi-Hong Sun</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 26 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='item36'>[36]</a> <a href ="/abs/2503.12756" title="Abstract" id="2503.12756"> arXiv:2503.12756 </a> [<a href="/pdf/2503.12756" title="Download PDF" id="pdf-2503.12756" aria-labelledby="pdf-2503.12756">pdf</a>, <a href="https://arxiv.org/html/2503.12756v1" title="View HTML" id="html-2503.12756" aria-labelledby="html-2503.12756" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12756" title="Other formats" id="oth-2503.12756" aria-labelledby="oth-2503.12756">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A framework for Tate modules of abelian varieties under isogeny </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Frei,+S">Sarah Frei</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Honigs,+K">Katrina Honigs</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Voight,+J">John Voight</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 23 pages. There is significant text overlap with <a href="https://arxiv.org/abs/2309.00531v2" data-arxiv-id="2309.00531v2" class="link-https">arXiv:2309.00531v2</a> </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='item37'>[37]</a> <a href ="/abs/2503.12748" title="Abstract" id="2503.12748"> arXiv:2503.12748 </a> [<a href="/pdf/2503.12748" title="Download PDF" id="pdf-2503.12748" aria-labelledby="pdf-2503.12748">pdf</a>, <a href="https://arxiv.org/html/2503.12748v1" title="View HTML" id="html-2503.12748" aria-labelledby="html-2503.12748" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12748" title="Other formats" id="oth-2503.12748" aria-labelledby="oth-2503.12748">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Arithmetic properties of generalized Delannoy polynomials and Schr枚der polynomials </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Li,+L">Lin-Yue Li</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Wang,+R">Rong-Hua Wang</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 18 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='item38'>[38]</a> <a href ="/abs/2503.12583" title="Abstract" id="2503.12583"> arXiv:2503.12583 </a> [<a href="/pdf/2503.12583" title="Download PDF" id="pdf-2503.12583" aria-labelledby="pdf-2503.12583">pdf</a>, <a href="https://arxiv.org/html/2503.12583v1" title="View HTML" id="html-2503.12583" aria-labelledby="html-2503.12583" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12583" title="Other formats" id="oth-2503.12583" aria-labelledby="oth-2503.12583">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Extending recent work of Nath, Saikia, and Sarma on $k$-tuple $\ell$-regular partitions </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Paudel,+B">Bishnu Paudel</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Sellers,+J+A">James A. Sellers</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Wang,+H">Haiyang Wang</a></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='item39'>[39]</a> <a href ="/abs/2503.12504" title="Abstract" id="2503.12504"> arXiv:2503.12504 </a> [<a href="/pdf/2503.12504" title="Download PDF" id="pdf-2503.12504" aria-labelledby="pdf-2503.12504">pdf</a>, <a href="https://arxiv.org/html/2503.12504v1" title="View HTML" id="html-2503.12504" aria-labelledby="html-2503.12504" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12504" title="Other formats" id="oth-2503.12504" aria-labelledby="oth-2503.12504">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Contracting low degree points on curves </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Derickx,+M">Maarten Derickx</a></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='item40'>[40]</a> <a href ="/abs/2503.12352" title="Abstract" id="2503.12352"> arXiv:2503.12352 </a> [<a href="/pdf/2503.12352" title="Download PDF" id="pdf-2503.12352" aria-labelledby="pdf-2503.12352">pdf</a>, <a href="https://arxiv.org/html/2503.12352v1" title="View HTML" id="html-2503.12352" aria-labelledby="html-2503.12352" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12352" title="Other formats" id="oth-2503.12352" aria-labelledby="oth-2503.12352">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Cusps and fundamental domains for congruence subgroups </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Nie,+Z">Zhaohu Nie</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Combinatorics (math.CO); Rings and Algebras (math.RA) </div> </div> </dd> <dt> <a name='item41'>[41]</a> <a href ="/abs/2503.12310" title="Abstract" id="2503.12310"> arXiv:2503.12310 </a> [<a href="/pdf/2503.12310" title="Download PDF" id="pdf-2503.12310" aria-labelledby="pdf-2503.12310">pdf</a>, <a href="https://arxiv.org/html/2503.12310v1" title="View HTML" id="html-2503.12310" aria-labelledby="html-2503.12310" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12310" title="Other formats" id="oth-2503.12310" aria-labelledby="oth-2503.12310">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The subconvexity bound for standard L-function in level aspect </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Hu,+Y">Yueke Hu</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Nelson,+P">Paul Nelson</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='item42'>[42]</a> <a href ="/abs/2503.12277" title="Abstract" id="2503.12277"> arXiv:2503.12277 </a> [<a href="/pdf/2503.12277" title="Download PDF" id="pdf-2503.12277" aria-labelledby="pdf-2503.12277">pdf</a>, <a href="https://arxiv.org/html/2503.12277v3" title="View HTML" id="html-2503.12277" aria-labelledby="html-2503.12277" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12277" title="Other formats" id="oth-2503.12277" aria-labelledby="oth-2503.12277">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On a conjecture of Erd艖s and Graham about the Sylvester's sequence </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Li,+Z">Zheng Li</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Tang,+Q">Quanyu Tang</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 23 pages; v2 generalizes the previous results; v3 fixes some typographical errors and adds several remarks </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='item43'>[43]</a> <a href ="/abs/2503.12237" title="Abstract" id="2503.12237"> arXiv:2503.12237 </a> [<a href="/pdf/2503.12237" title="Download PDF" id="pdf-2503.12237" aria-labelledby="pdf-2503.12237">pdf</a>, <a href="https://arxiv.org/html/2503.12237v1" title="View HTML" id="html-2503.12237" aria-labelledby="html-2503.12237" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12237" title="Other formats" id="oth-2503.12237" aria-labelledby="oth-2503.12237">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Eichler orders, quotient graphs and random walks </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Arenas-Carmona,+L">Luis Arenas-Carmona</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Godoy,+M">Marco Godoy</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='item44'>[44]</a> <a href ="/abs/2503.12146" title="Abstract" id="2503.12146"> arXiv:2503.12146 </a> [<a href="/pdf/2503.12146" title="Download PDF" id="pdf-2503.12146" aria-labelledby="pdf-2503.12146">pdf</a>, <a href="https://arxiv.org/html/2503.12146v1" title="View HTML" id="html-2503.12146" aria-labelledby="html-2503.12146" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12146" title="Other formats" id="oth-2503.12146" aria-labelledby="oth-2503.12146">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Divisors of an Integer in a Short Interval </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Letendre,+P">Patrick Letendre</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='item45'>[45]</a> <a href ="/abs/2503.12145" title="Abstract" id="2503.12145"> arXiv:2503.12145 </a> [<a href="/pdf/2503.12145" title="Download PDF" id="pdf-2503.12145" aria-labelledby="pdf-2503.12145">pdf</a>, <a href="https://arxiv.org/html/2503.12145v1" title="View HTML" id="html-2503.12145" aria-labelledby="html-2503.12145" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12145" title="Other formats" id="oth-2503.12145" aria-labelledby="oth-2503.12145">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Arithmetic properties for Overpartitions where nonoverlined parts are $\ell$-regular </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Nath,+H">Hemjyoti Nath</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='item46'>[46]</a> <a href ="/abs/2503.12027" title="Abstract" id="2503.12027"> arXiv:2503.12027 </a> [<a href="/pdf/2503.12027" title="Download PDF" id="pdf-2503.12027" aria-labelledby="pdf-2503.12027">pdf</a>, <a href="https://arxiv.org/html/2503.12027v1" title="View HTML" id="html-2503.12027" aria-labelledby="html-2503.12027" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.12027" title="Other formats" id="oth-2503.12027" aria-labelledby="oth-2503.12027">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Two identities involving Cohen-Ramanujan expansions </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Chandran,+A">Arya Chandran</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Namboothiri,+K+V">K Vishnu Namboothiri</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/2503.11987" title="Abstract" id="2503.11987"> arXiv:2503.11987 </a> [<a href="/pdf/2503.11987" title="Download PDF" id="pdf-2503.11987" aria-labelledby="pdf-2503.11987">pdf</a>, <a href="https://arxiv.org/html/2503.11987v1" title="View HTML" id="html-2503.11987" aria-labelledby="html-2503.11987" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.11987" title="Other formats" id="oth-2503.11987" aria-labelledby="oth-2503.11987">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Geometric Properties of Periodic Lattices in Function Fields </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Aranov,+N+S">Noy Soffer Aranov</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Metric Geometry (math.MG) </div> </div> </dd> <dt> <a name='item48'>[48]</a> <a href ="/abs/2503.11817" title="Abstract" id="2503.11817"> arXiv:2503.11817 </a> [<a href="/pdf/2503.11817" title="Download PDF" id="pdf-2503.11817" aria-labelledby="pdf-2503.11817">pdf</a>, <a href="https://arxiv.org/html/2503.11817v1" title="View HTML" id="html-2503.11817" aria-labelledby="html-2503.11817" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.11817" title="Other formats" id="oth-2503.11817" aria-labelledby="oth-2503.11817">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> An Improved Lower Bound on the Image of the 2-adic Character Map for the Heisenberg Algebra via Modular Linear Differential Equations </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Barake,+D">Daniel Barake</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Franc,+C">Cameron Franc</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 15 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Number Theory (math.NT)</span>; Quantum Algebra (math.QA) </div> </div> </dd> <dt> <a name='item49'>[49]</a> <a href ="/abs/2503.11676" title="Abstract" id="2503.11676"> arXiv:2503.11676 </a> [<a href="/pdf/2503.11676" title="Download PDF" id="pdf-2503.11676" aria-labelledby="pdf-2503.11676">pdf</a>, <a href="https://arxiv.org/html/2503.11676v1" title="View HTML" id="html-2503.11676" aria-labelledby="html-2503.11676" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.11676" title="Other formats" id="oth-2503.11676" aria-labelledby="oth-2503.11676">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Note on a theorem of Birch and Erd艖s </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Ding,+Y">Yuchen Ding</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Liu,+H">Honghu Liu</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='item50'>[50]</a> <a href ="/abs/2503.13006" title="Abstract" id="2503.13006"> arXiv:2503.13006 </a> (cross-list from math.AG) [<a href="/pdf/2503.13006" title="Download PDF" id="pdf-2503.13006" aria-labelledby="pdf-2503.13006">pdf</a>, <a href="https://arxiv.org/html/2503.13006v1" title="View HTML" id="html-2503.13006" aria-labelledby="html-2503.13006" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2503.13006" title="Other formats" id="oth-2503.13006" aria-labelledby="oth-2503.13006">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Proving the Grothendieck--Teichm眉ller Conjecture for Profinite Spaces & The Galois Grothendieck Path Integral </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Combe,+N+C">No茅mie C. Combe</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Geometry (math.AG)</span>; Number Theory (math.NT) </div> </div> </dd> </dl> <div class='paging'>Total of 64 entries : <span>1-50</span> <a href=/list/math.NT/recent?skip=50&show=50>51-64</a> </div> <div class='morefewer'>Showing up to 50 entries per page: <a href=/list/math.NT/recent?skip=0&show=25 rel="nofollow"> fewer</a> | <span style="color: #454545">more</span> | <a href=/list/math.NT/recent?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; line-height: 2;"> <li><a href="https://info.arxiv.org/about">About</a></li> <li><a href="https://info.arxiv.org/help">Help</a></li> </ul> </div> <div class="column"> <ul style="list-style: none; 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