On the arithmetic Siegel--Weil formula for orthogonal Shimura variet... arXiv:2610.31173 Landau-Siegel zeros over a base field and effective Brauer-Siegel arXiv:2610.31402 Nonvanishing of 2-primary Kolyvagin classes via simultaneous quadrat... arXiv:2610.31631

OpenAI partially disproves Littlewood's 1961 L^\alpha-flat theorem arXiv:2610.30797 The exponent 1/4 in three complexity bounds: integer bases, continue... arXiv:2610.30937 Irrationality Exponents of Real CM Elliptic Periods and Powers of th... arXiv:2610.31112

On the Open Problem in the 2023 Simon Marais Mathematics Competition arXiv:2610.30658 Aspects of quadratic Chabauty via modular forms arXiv:2610.30703 Complete Determination of the Gallai--van der Waerden Number \(\math... arXiv:2610.30711

Simultaneous popular polynomial differences in higher dimensions arXiv:2610.30335 An explicit elementary proof of no Landau--Siegel zeros arXiv:2610.30476 Norm-Euclideanity in cyclic fields arXiv:2610.30621

Squarefree values of random polynomials are Gaussian mixtures arXiv:2610.29911 A Sharp Bound for Additive Complements arXiv:2610.29963 Zeros of E_2, quasi-periods, and Schwarz maps arXiv:2610.30025

Integer symplectic matrices in expanding boxes arXiv:2610.29794 Integral trace forms of cyclic number fields without tameness arXiv:2610.29876 On the notion of reasonable functions in Cohen--Lenstra type heuristics arXiv:2610.29880

Perturbing the Conway sequence arXiv:2610.29631 On the Gauss sphere problem arXiv:2610.29636 Sharp spherical L^p\to L^4 extension estimates over finite fields in... arXiv:2610.29664

Computing Theta Characteristics and their Galois action on general c... arXiv:2610.29449 The exceptional set of Goldbach numbers within the set of squares arXiv:2610.29470 Residue Sums Modulo Products of Two Distinct Odd Primes arXiv:2610.29608

Mixed sums of infinite multiple zeta-star values with restricted ind... arXiv:2610.29100 Statistics of entries of matrices from the general linear group over... arXiv:2610.29305 Ideal class groups of certain real quadratic number fields and facto... arXiv:2610.29347

The Octonionic Rational Wave Numbers: Non-Associative Sequence Algeb... arXiv:2610.28921 Zeros of quadratic Dirichlet L-functions arXiv:2610.29018 Construction of Galois modules describing ideal class groups and app... arXiv:2610.29071

Subset sums of power values over Galois rings arXiv:2610.28837 On a conjecture of Velani arXiv:2610.28839 Hecke Orbits on Globally Drinfeld-Uniformized Shimura Varieties Are ... arXiv:2610.28869

A quaternary Diophantine inequality with prime numbers of a special ... arXiv:2610.28774 A relative Schinzel-Zassenhaus bound for the polynomial T^2 - 1 arXiv:2610.28782 Short sums of the M\"obius function over function fields arXiv:2610.28822

An Asymptotic for Non-Wieferich Numbers arXiv:2610.28685 A Counterexample to the Eventual Stability Conjecture arXiv:2610.28688 Sch\"affer's conjecture for even k \le 42 arXiv:2610.28768

Unconditional Subexponential Arithmetic Circuits\ for Positive Facto... arXiv:2610.28338 Small and large gaps between zeros of Dirichlet L-functions arXiv:2610.28527

Simultaneous popular differences for polynomial and linear progressi... arXiv:2610.28226 A necessary condition for a Romanoff type theorem arXiv:2610.28237 A Joint Local Limit Theorem for Prime Divisor Counting Functions arXiv:2610.28328

Irrationality exponents of logarithmic numbers: Values, quotients, a... arXiv:2610.28079 Simultaneous visibility in cut-and-project sets arXiv:2610.28119 Euler systems for self-dual Hecke characters over biquadratic fields... arXiv:2610.28196

SEAC from EAC modulo Schanuel: reduction to algebraic exponentials arXiv:2610.27963 Uncountably many settled elements are never Frobenius elements arXiv:2610.27997 On the average of class numbers of indefinite binary quadratic forms arXiv:2610.28001

Primes in short intervals assuming the Riemann hypothesis arXiv:2610.27830 Post-quantum commutative group actions from oriented superspecial ab... arXiv:2610.27922 Theta Relations arXiv:2610.27959

Dense Sets with Prescribed Difference Representation Functions arXiv:2610.27786 New Directions in Irrationality arXiv:2610.27799 Weyl Bounds for \operatorname{GL}_2\times \operatorname{GL}_2 Rankin... arXiv:2610.27804

An Equivariant Main Conjecture for Branched \mathbb Z_p-Towers of Fi... arXiv:2610.27551 Small values of the Riemann zeta-function near the critical line arXiv:2610.27591 A determinant formula for multiple harmonic sums and their linear in... arXiv:2610.27767