Hanamichi Kawamura: Ecalle's senary relation and dimorphic structures https://arxiv.org/abs/2509.21252 https://arxiv.org/pdf/2509.21252 https://arxiv.org/html/2509.21252

Keane Maverick Irawan: Judicious partitions for restricted self-sumsets in cyclic groups https://arxiv.org/abs/2509.20568 https://arxiv.org/pdf/2509.20568 https://arxiv.org/html/2509.20568

Krystian Gajdzica, Robin Visser, Maciej Zakarczemny: Rectangle partitions generalizing integer partitions https://arxiv.org/abs/2509.20495 https://arxiv.org/pdf/2509.20495 https://arxiv.org/html/2509.20495

Jehanne Dousse, Jeremy Lovejoy: Bailey pairs and quantum $q$-series identites. I. The classical identities https://arxiv.org/abs/2509.21230 https://arxiv.org/pdf/2509.21230 https://arxiv.org/html/2509.21230

Kathrin Bringmann, Caner Nazaroglu, Jan-Willem M. van Ittersum: Asymptotics of partition parts in arithmetic progressions https://arxiv.org/abs/2509.21202 https://arxiv.org/pdf/2509.21202 https://arxiv.org/html/2509.21202

Kurt Girstmair: Power residues, digit expansions and relative class numbers https://arxiv.org/abs/2509.21094 https://arxiv.org/pdf/2509.21094 https://arxiv.org/html/2509.21094

Satyabrat Sahoo: Effective Generalized Fermat equation of signature $(2p, 2q, r)$ with odd narrow class number https://arxiv.org/abs/2509.21083 https://arxiv.org/pdf/2509.21083 https://arxiv.org/html/2509.21083

Emanuel Carneiro, Pranendu Darbar, Mithun Kumar Das, Tolibjon Ismoilov, Antonio Pedro Ramos: Littlewood's estimates for $L$-functions in the hyperelliptic ensemble https://arxiv.org/abs/2509.21019 https://arxiv.org/pdf/2509.21019 https://arxiv.org/html/2509.21019

O\u{g}uz Gezmi\c{s}, \"Ozge \"Ulkem: A family of Hecke eigenforms for Drinfeld modular forms of arbitrary rank https://arxiv.org/abs/2509.20895 https://arxiv.org/pdf/2509.20895 https://arxiv.org/html/2509.20895

K\^az{\i}m B\"uy\"ukboduk, \'Oscar Rivero, Ryotaro Sakamoto: Wall-crossing and $p$-adic Artin formalism for ${\rm GSp}_4 \times {\rm GL}_2 \times {\rm GL}_2$ https://arxiv.org/abs/2509.20887 https://arxiv.org/pdf/2509.20887 https://arxiv.org/html/2509.20887

Steven Creech, Alia Hamieh, Simran Khunger, Kaneenika Sinha, Jakob Streipel, Kin Ming Tsang: Explicit zero-free regions for automorphic $L$-functions https://arxiv.org/abs/2509.20873 https://arxiv.org/pdf/2509.20873 https://arxiv.org/html/2509.20873

Hemjyoti Nath, Hirakjyoti Das: Infinite families of congruences for the second order mock theta function $\mathcal{B}(q)$ https://arxiv.org/abs/2509.20708 https://arxiv.org/pdf/2509.20708 https://arxiv.org/html/2509.20708

[2025-09-26 Fri (UTC), 9 new articles found for mathNT Number Theory]

Megan Howarth, Muze Ren: Reduced coaction Lie algebra, double shuffle Lie algebra and noncommutative krv2 equation https://arxiv.org/abs/2509.20275 https://arxiv.org/pdf/2509.20275 https://arxiv.org/html/2509.20275

Elvira Lupoian, Mychelle Parker: Intersections of the Ekedahl-Oort and Newton Polygon Stratifications of $\mathcal{A}_{5}$ https://arxiv.org/abs/2509.19878 https://arxiv.org/pdf/2509.19878 https://arxiv.org/html/2509.19878

Hansheng Diao, Zijian Yao: Monodromy and rigidity of crystalline local systems https://arxiv.org/abs/2509.19813 https://arxiv.org/pdf/2509.19813 https://arxiv.org/html/2509.19813

Indranil Biswas, Sudarshan Gurjar: Connections and Higgs bundles on curves defined over a number field https://arxiv.org/abs/2509.19737 https://arxiv.org/pdf/2509.19737 https://arxiv.org/html/2509.19737

Yijun Yuan: Formalization of Harder-Narasimhan theory https://arxiv.org/abs/2509.19632 https://arxiv.org/pdf/2509.19632 https://arxiv.org/html/2509.19632

Alexandra Florea: A survey of moment bounds for $\zeta(s)$: from Heath Brown's work to the present https://arxiv.org/abs/2509.20335 https://arxiv.org/pdf/2509.20335 https://arxiv.org/html/2509.20335

Ken Ono: Modularity from $q$-series https://arxiv.org/abs/2509.20316 https://arxiv.org/pdf/2509.20316 https://arxiv.org/html/2509.20316

Jonathan Chapman, Akshat Mudgal: Counting 2x2 integer matrices with a given determinant https://arxiv.org/abs/2509.20259 https://arxiv.org/pdf/2509.20259 https://arxiv.org/html/2509.20259

Brice Miayoka Moussolo: Rational and isolated quadratic points on hyperelliptic curves of rank 0 and small genus https://arxiv.org/abs/2509.20252 https://arxiv.org/pdf/2509.20252 https://arxiv.org/html/2509.20252

Zikang Dong, Yutong Song, Weijia Wang, Hao Zhang, Shengbo Zhao: Large quadratic character sums with multiplicative coefficients https://arxiv.org/abs/2509.20192 https://arxiv.org/pdf/2509.20192 https://arxiv.org/html/2509.20192

Alex Bartel, Carlo Pagano: A heuristic for ray class groups of quadratic number fields https://arxiv.org/abs/2509.20185 https://arxiv.org/pdf/2509.20185 https://arxiv.org/html/2509.20185

Julian Feuerpfeil: A Hilbert 90 Property for S-Class Groups and Applications to the Gross-Kuz'min Conjecture https://arxiv.org/abs/2509.20144 https://arxiv.org/pdf/2509.20144 https://arxiv.org/html/2509.20144

Peng Gao, Yuetong Zhao: Bounds for integral moments of quadratic twists of Fourier coefficients of modular forms https://arxiv.org/abs/2509.20085 https://arxiv.org/pdf/2509.20085 https://arxiv.org/html/2509.20085

Kam Cheong Au: Linear relations between $L$-values of newforms and moments of elliptic $K$ integral https://arxiv.org/abs/2509.19960 https://arxiv.org/pdf/2509.19960 https://arxiv.org/html/2509.19960

Alain Kraus, Nuno Freitas, Ignasi S\'anchez-Rodr\'iguez: Symplectic criteria for elliptic curves, revisited https://arxiv.org/abs/2509.19938 https://arxiv.org/pdf/2509.19938 https://arxiv.org/html/2509.19938

Manfred G. Madritsch, Robert F. Tichy: On Finite Pseudorandom Binary Sequences: Generalized polynomials https://arxiv.org/abs/2509.19810 https://arxiv.org/pdf/2509.19810 https://arxiv.org/html/2509.19810

Vitaly Bergelson, Grigori Kolesnik, Younghwan Son: Weighted uniform distribution of subpolynomial functions along primes and applications https://arxiv.org/abs/2509.19722 https://arxiv.org/pdf/2509.19722 https://arxiv.org/html/2509.19722

[2025-09-25 Thu (UTC), 12 new articles found for mathNT Number Theory]

Yeor Hafouta: On the failure of weak convergence for Rademacher random multiplicative functions https://arxiv.org/abs/2509.19067 https://arxiv.org/pdf/2509.19067 https://arxiv.org/html/2509.19067

R\'egis Blache (LAMIA), Emmanuel Hallouin (IMT): Ruled surfaces over finite fields, and some codes over them https://arxiv.org/abs/2509.18698 https://arxiv.org/pdf/2509.18698 https://arxiv.org/html/2509.18698

Dodgson, Joedhitya, Ramdas, Kumar, Chauhan, Rafhael, Mingshu, Lotfi: Machine Learnability as a Measure of Order in Aperiodic Sequences https://arxiv.org/abs/2509.18103 https://arxiv.org/pdf/2509.18103 https://arxiv.org/html/2509.18103

Ilya V. Vyugin: On the structure of solutions graph of the Markoff-Hurwitz equation and recurrence sequences https://arxiv.org/abs/2509.19289 https://arxiv.org/pdf/2509.19289 https://arxiv.org/html/2509.19289

Andrius Grigutis, Lukas Tur\v{c}inskas: Note on the positivity of the real part of the log-derivative of the Riemann $\xi$-function near the critical line https://arxiv.org/abs/2509.18963 https://arxiv.org/pdf/2509.18963 https://arxiv.org/html/2509.18963

Yubo Jin, Dongwen Liu, Binyong Sun: On Deligne's conjecture for Hecke characters https://arxiv.org/abs/2509.18921 https://arxiv.org/pdf/2509.18921 https://arxiv.org/html/2509.18921

Sa\v{s}a Novakovi\'c: Diophantine equations involving powers of factorials https://arxiv.org/abs/2509.18860 https://arxiv.org/pdf/2509.18860 https://arxiv.org/html/2509.18860

Ethan Ackelsberg: A Weyl equidistribution theorem over function fields https://arxiv.org/abs/2509.18789 https://arxiv.org/pdf/2509.18789 https://arxiv.org/html/2509.18789

Hao Peng: On the Beilinson-Bloch-Kato conjecture for polarized motives https://arxiv.org/abs/2509.18615 https://arxiv.org/pdf/2509.18615 https://arxiv.org/html/2509.18615

Kevin Keating: Some nonabelian subgroups of the Nottingham group over F_4 https://arxiv.org/abs/2509.18300 https://arxiv.org/pdf/2509.18300 https://arxiv.org/html/2509.18300

S. I. Dimitrov: On $\boldsymbol{\psi}$-quadratic $k$-tuples and their generalizations https://arxiv.org/abs/2509.18291 https://arxiv.org/pdf/2509.18291 https://arxiv.org/html/2509.18291

Preda Mihailescu: The strong Fermat-Catalan Equation https://arxiv.org/abs/2509.18275 https://arxiv.org/pdf/2509.18275 https://arxiv.org/html/2509.18275

[2025-09-24 Wed (UTC), 9 new articles found for mathNT Number Theory]

Anshul Adve: A converse theorem for hyperbolic surface spectra and the conformal bootstrap https://arxiv.org/abs/2509.17935 https://arxiv.org/pdf/2509.17935 https://arxiv.org/html/2509.17935

Ethan Ackelsberg, Vitaly Bergelson: Polynomial actions of rings of integers of global fields and quasirandomness of Paley-type graphs https://arxiv.org/abs/2509.17868 https://arxiv.org/pdf/2509.17868 https://arxiv.org/html/2509.17868

David Christopher, Davamani Christober: On asymptotic formula of the partition function $p_A(n)$ https://arxiv.org/abs/2509.17193 https://arxiv.org/pdf/2509.17193 https://arxiv.org/html/2509.17193

Rapha\"el Giordano: On the partition regularity of arithmetic progressions and linear equations in k-IP-sets https://arxiv.org/abs/2509.17013 https://arxiv.org/pdf/2509.17013 https://arxiv.org/html/2509.17013

Michael Harris, Toshiyuki Kobayashi, Birgit Speh: Translation functors, branching problems, and applications to the restriction of coherent cohomology of Shimura varieties https://arxiv.org/abs/2509.17007 https://arxiv.org/pdf/2509.17007 https://arxiv.org/html/2509.17007

Atsushi Katsuda: An extension of the Floquet-Bloch theory to nilpotent groups and its applications https://arxiv.org/abs/2509.16848 https://arxiv.org/pdf/2509.16848 https://arxiv.org/html/2509.16848