Cheng Chen, Rui Chen, Jialiang Zou Fourier-Jacobi models for real symplectic-metaplectic groups: the basic case https://arxiv.org/abs/2601.09062

Liwen Gao, Xuejun Guo Inequalities for $\zeta(s)-\psi(1-s)$ related to a conjecture of Henry https://arxiv.org/abs/2601.09276

S. I. Dimitrov A Diophantine inequality involving different powers of primes of the form {\boldmath$[n^c]$} https://arxiv.org/abs/2601.09405

Anuj Jakhar, Ravi Kalwaniya, Anwesh Ray, Bidisha Roy On the distribution of shapes of sextic pure number fields https://arxiv.org/abs/2601.09411

Alexandros Groutides A note on toric periods in unramified families https://arxiv.org/abs/2601.09418

Veronika Mensikova, Helena Muchova Using continued fractions with prescribed period for universal quadratic forms https://arxiv.org/abs/2601.09419

Dietrich Burde Estimates on binomial sums of partition functions https://arxiv.org/abs/2601.09472

Sebastian Tim Holdum, Frederik Ravn Klausen, Peter Michael Reichstein Rasmussen Powers in prime bases and a problem on central binomial coefficients https://arxiv.org/abs/2601.09510

Christopher Frei, Martin Widmer, Volker Ziegler Rational integers as sums of units -- the quadratic case https://arxiv.org/abs/2601.09517

Nataniel Marquis Implications of Breuil-Herzig-Hu-Morra-Schraen's conjectures on Z\'abr\'adi's functor https://arxiv.org/abs/2601.09539

Kevin Calderon, Nikita Kalinin Weighted error-sum identities for periodic continued fractions and their generalizations https://arxiv.org/abs/2601.07862

Benjamin Girard, Alain Plagne The Davenport constant of an interval: a proof that $\mathsf{D}=\chi$ https://arxiv.org/abs/2601.07950

Walter Andr\'es P\'aez Gaviria Introduction to Elliptic Quasi-Modular Forms via Moduli Spaces https://arxiv.org/abs/2601.08066

Atsushi Moriwaki Arithmetic dynamics and Generalized Fermat's conjecture https://arxiv.org/abs/2601.08207

Siegfried Boecherer, Toshiyuki Kikuta On mod $p$ singular modular forms II https://arxiv.org/abs/2601.08291

Danil Krotkov On a certain type of deformation of umbral orthogonal polynomials https://arxiv.org/abs/2601.08312

Malors Espinosa, Zander Karaganis Impacted Buildings for GL(2) https://arxiv.org/abs/2601.08365

Kurt Girstmair On the variance of the digits of $1/p$ https://arxiv.org/abs/2601.08416

Kiyoshi Sogo Divergent series in Gauss's diary and their extensions https://arxiv.org/abs/2601.08456

Chao Wang A Formal Proof of a Continued Fraction Conjecture for $\pi$ Originating from the Ramanujan Machine https://arxiv.org/abs/2601.08461

Pankaj Patel, Debopam Chakraborty, Jaitra Chattopadhyay Two infinite families of elliptic curves with Mordell-Weil rank at least $3$ https://arxiv.org/abs/2601.08570

S\"oren Kleine, Ahmed Matar, Sujatha Ramdorai On the $\mathfrak{M}_H(G)$-property for Selmer groups at supersingular reduction https://arxiv.org/abs/2601.08612

Christian Bernert, Ulrich Derenthal, Judith Ortmann, Florian Wilsch Integral points over number fields: a Clemens complex jigsaw puzzle https://arxiv.org/abs/2601.08774

Ting-Han Huang, Ananyo Kazi, Luca Marannino New perspectives on $p$-adic regulator formulae https://arxiv.org/abs/2601.05406

Zilong He Local information of ADC quadratic lattices over algebraic number fields https://arxiv.org/abs/2601.05585

Mahima Kumar, Gabor Wiese K\"ohler's Conjecture on Hecke Theta Series of Weight One https://arxiv.org/abs/2601.05708

Luca Ferrigno Unlikely intersections with CM abelian varieties in a family and explicit bounds for canonical heights under endomorphisms https://arxiv.org/abs/2601.05919

Paul Boisseau The fine spectral expansion of the Rankin-Selberg period https://arxiv.org/abs/2601.02542

Qiyu Yang, Shengbo Zhao Joint extreme values of the Riemann zeta function at harmonic points https://arxiv.org/abs/2601.02623

Graeme Bates, Ryan Jesubalan, Seewoo Lee, Jane Lu, Hyewon Shim Powerful Fibonacci polynomials over finite fields https://arxiv.org/abs/2601.02664

Chen Lin, Kaihan Tang Counting Polynomial-type Exceptional Units on Algebraic Varieties over Number Fields https://arxiv.org/abs/2601.02743

Po-Han Hsu, Peng-Jie Wong On rates of convergence in central limit theorems of Selberg and Bourgade https://arxiv.org/abs/2601.02781

Rajesh P. Singh, Dinesh Kumar, Jitendra Prakash The compositional inverses of some permutation polynomials of the form $x+\gamma\operatorname{Tr}_q^{q^2}(h(x))$ https://arxiv.org/abs/2601.02919

Pawan Singh Mehta, Biswajyoti Saha Ramaswami Type translation formulae for the polylogarithm functions https://arxiv.org/abs/2601.02921

Jonas Bergstr\"om, Sjoerd de Vries Periodicity of traces of Hecke operators modulo prime powers https://arxiv.org/abs/2601.03029

Wooyeon Kim, Jens Marklof, Matthew Welsh Values of ternary quadratic forms at integers and the Berry-Tabor conjecture for 3-tori https://arxiv.org/abs/2601.03209

J. E. Cremona, P. Koymans Lattice coverings and homogeneous covering congruences https://arxiv.org/abs/2601.03212

Runbo Li On the largest prime factor of integers in short intervals III https://arxiv.org/abs/2601.00910

Lisa Carbone, Pranav Shankar Kac--Moody Fibonacci sequences https://arxiv.org/abs/2601.00958

Ali K. Uncu Combinatorial Proofs of Ismail's Identities on Al-Salam--Chirara Polynomials https://arxiv.org/abs/2601.00983

Martin Klazar Two algebraic proofs of the transcendence of $\mathrm{e}$ based on formal power series https://arxiv.org/abs/2601.01019

Jordan Ellenberg, Mark Shusterman Averages of Arithmetic Functions over Conductors of Function Fields https://arxiv.org/abs/2601.01242

Ido Karshon, Mark Shusterman Pro-$\ell$-by-cyclotomic and tamely ramified variants of the Neukirch-Uchida Theorem https://arxiv.org/abs/2601.01251

Nhat Minh Doan, Sang-hyun Kim, Mong Lung Lang, Ser Peow Tan Optimal Farey sequence for the Congruence subgroup $\Gamma_0(2^{n})$ https://arxiv.org/abs/2601.01324

Tianshuo Yang Matrix Kloosterman Sums, Random Matrix Statistics, and Cryptography https://arxiv.org/abs/2601.01603

Xuecai Ma Hecke algebra of $\mathrm{GL}_n$ over a 2-dimensional local field https://arxiv.org/abs/2601.01610

Xingyuan Cai, Eric H. Liu, Olivia X. M. Yao Some identities on the second order mock theta functions https://arxiv.org/abs/2601.01848

Olivier Bordell\`es, Florian Daval On a Smoothed Dirichlet Divisor Problem https://arxiv.org/abs/2601.01905

Ernst-Ulrich Gekeler Modular Forms for \(\mathrm{GL}(r, \mathbb{F}_{q}[T])\): \(t\)-expansions of the basic forms https://arxiv.org/abs/2601.02034

C\'ecile Armana, Elena Berardini, Xavier Caruso, Antoine Leudi\`ere, Jade Nardi, Fabien Pazuki A computational approach to Drinfeld modules https://arxiv.org/abs/2601.02162