arXiv math.NT Number Theory

Rethinking the work of Langlands on Eisenstein series arXiv:2605.22475 Lines in the prime number graph arXiv:2605.22752 Bell Transforms of Arithmetic Functions: Euler Products, Congruences... arXiv:2605.22784

A quick distributional way to reproduce some results of the Riemann ... arXiv:2605.22421 A Complete Characterization of Heron Triangles with Two Perfect Squa... arXiv:2605.22458 Arboreal Galois Groups of a PCF Map with Strictly Pre-periodic Criti... arXiv:2605.22466

A Uniform Random-Lattice Tail Bound for the SVP Kissing-Profile Para... arXiv:2605.21966 On the structure of fine Mordell-Weil groups over a $\mathbb{Z}_p$-e... arXiv:2605.22063 The distribution of semi-integral points on a class of singular cubi... arXiv:2605.22371

Rational dynamics of a prime-representing map arXiv:2605.21802 The reverse Goldbach problem and a refined Zsiflaw--Legeis theorem arXiv:2605.21876 Coset-refined trace statistics, nodal characters, and affine branche... arXiv:2605.21939

A Matrix-Theoretic Exact Formula for Counting Primes in Intervals Be... arXiv:2605.21529 2007: An Arboreal Odyssey: A View of Arboreal Galois Representations... arXiv:2605.21666 Escaping Chaos in Random Multiplicative Functions arXiv:2605.21737

On the Natural Density of Monic Integer Polynomials with Roots in a ... arXiv:2605.21513 Port Fillings for Primary Pseudoperfect Numbers arXiv:2605.21518 A generalization of the Erd\H{o}s-Sierpi\'nski conjecture arXiv:2605.21524

An Improved Upper Bound for the Dirichlet Spectrum in Diophantine Ap... arXiv:2605.21275 Arithmetic Properties of Overcolored Odd Partitions arXiv:2605.21321 Sharp omega results for the divisor and circle problems arXiv:2605.21476

Quasiautomorphic forms are isomorphic to vector-valued automorphic f... arXiv:2605.21067 On a conjecture of Amdeberhan, Andrews and Ballantine for double Lam... arXiv:2605.21163 Binomial coefficients with divisors avoiding an interval arXiv:2605.21221

Generalized Fermat equation over cyclotomic $\mathbb{Z}_l$-extension... arXiv:2605.20860 Precise Asymptotics and Exact Formulas for Tensor Product Energies o... arXiv:2605.20895 A Local Valuation Criterion for Quadratic-Permutation Interleaved Za... arXiv:2605.20947

On discrepancy estimates for pseudorandom vectors constructed by the... arXiv:2605.20627 Limiting Distribution and Rate of Convergence for GL(3) Fourier Coef... arXiv:2605.20707 Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramifica... arXiv:2605.20719

High-Precision Approximation of Riemann Zeros via the Truncated Weil... arXiv:2605.20224 Eigenvalue Distribution of $p$-adic Random Matrices Among Algebraic ... arXiv:2605.20444 Bounded-box reductions in the Subbarao-Warren problem for unitary pe... arXiv:2605.20475

Split-prime supercongruence at the mixed CM point (1/6, 1/3; 1) arXiv:2605.19773

Two determinant evaluations in Sun's conjectures involving Legendre ... arXiv:2605.19517 On the Goldbach problem with restricted primes arXiv:2605.19566 The inhomogeneous Khintchine Theorem in dimension two arXiv:2605.19582

On optimal $p$-adic uniformization of unitary Shimura curves arXiv:2605.19443 A Determinant Congruence Conjectured by Sun arXiv:2605.19486 Sun-type determinant and permanent congruences arXiv:2605.19502

Hal\'asz theorems for Gaussian ideals in sectors and short intervals arXiv:2605.19105 On nonconvex constellations among primes II: (458,3240) arXiv:2605.19165 A formula of counting divisors in integers rings: a generalization o... arXiv:2605.19177

The generalized Montgomery-Hooley formula: A survey arXiv:2605.18996 Short Salem polynomials arXiv:2605.19013 Fibonacci Numbers and Vieta Jumping for a Rational Diophantine Equation arXiv:2605.19083

Three Brillhart-Lehmer-Selfridge primality proofs for Wagstaff numbers arXiv:2605.18555 Covering systems where the prime divisors of all moduli are only $2$... arXiv:2605.18644 Linear equations in Piatetski-Shapiro primes arXiv:2605.18676

On the Periods of Ikeda-Yamana Lift for the Unitary Group I arXiv:2605.18294 Sum of consecutive powers as a perfect power arXiv:2605.18348 Classicality of Hilbert modular forms arXiv:2605.18426

A note on the $q$-adic valuation of $\sigma_k(n)$ arXiv:2605.17872 Decay of weighted cusp counts for congruence subgroups of $SL_2$ ove... arXiv:2605.17972 On some constancy of Hecke eigensystems for Drinfeld cuspforms of le... arXiv:2605.18016

Linear independence of periods related to polylogarithms arXiv:2605.17756 An update on the Linnik--Goldbach and Romanov problems arXiv:2605.17825 Non-admissibility of some universal supersingular representations arXiv:2605.17836