Rational Points on Affine Varieties over Finite Fields and Polygonal... arXiv:2610.32930

A genus-two spectral curve of the Riemann \Xi-function: Real Structu... arXiv:2610.32694 Spectral convergence associated with Weil's quadratic form arXiv:2610.32704 Traces of Green's functions on \mathbb{H}^q over point-hypersurface ... arXiv:2610.32825

The limiting zero counting measure for Eisenstein series arXiv:2610.32590 Hausdorff dimension of canonical height spectra arXiv:2610.32625 The Hardy--Littlewood asymptotic for primes p and p+4 from a uniform... arXiv:2610.32672

Prime Numbers of the Form 24m+1 and Erd\"{o}s-Straus Conjecture arXiv:2610.32302 Shintani Cocycle Decomposition of Topological Polylogarithms for Tot... arXiv:2610.32363 Binary Quadratic Forms, Shintani Lifts, and Twisted L-Values arXiv:2610.32470

An explicit bound on |\zeta_K(1+it)| arXiv:2610.32012 A Sharp Upper Bound for the Frobenius Number arXiv:2610.32219 Value-distribution of Euler--Zagier type multiple zeta-functions wit... arXiv:2610.32242

On Parameterization of Some Problems in Number Theory arXiv:2610.31905 Elliptic curve rank growth in multi-quadratic extensions arXiv:2610.31925 Trivial Iwasawa modules and arithmetic linking numbers arXiv:2610.31965

Biases in gaps between zeros of Dirichlet L-functions arXiv:2610.31744 Divisor Sums with Spacing Constraints arXiv:2610.31832 Quantitative nodal domain count for Maass forms arXiv:2610.31857

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