整数値と集合和と群の構造 - 2026/10/22の論文35本

arXiv math.NTの新着論文35本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-22/ An Asymptotic for Non-Wieferich Numbers A Counterexample to the Eventual Stability Conjecture Sch\"affer's conjecture for even $k \le 42$ A quaternary Diophantine inequality with prime numbers of a special form (II) A relative Schinzel-Zassenhaus bound for the polynomial $T^2 - 1$ Short sums of the M\"obius function over function fields Subset sums of power values over Galois rings On a conjecture of Velani Hecke Orbits on Globally Drinfeld-Uniformized Shimura Varieties Are $p$-adically Nowhere Dense The Octonionic Rational Wave Numbers: Non-Associative Sequence Algebras, Moufang Loops, and Exceptional $G_2$ Symmetries Zeros of quadratic Dirichlet $L$-functions Construction of Galois modules describing ideal class groups and applications to Iwasawa theory Mixed sums of infinite multiple zeta-star values with restricted indices Statistics of entries of matrices from the general linear group over a finite field Ideal class groups of certain real quadratic number fields and factorizations of values of certain quadratic polynomials Computing Theta Characteristics and their Galois action on general curves of moderate genus The exceptional set of Goldbach numbers within the set of squares Residue Sums Modulo Products of Two Distinct Odd Primes Perturbing the Conway sequence On the Gauss sphere problem Sharp spherical $L^p\to L^4$ extension estimates over finite fields in odd dimensions Integer symplectic matrices in expanding boxes Integral trace forms of cyclic number fields without tameness On the notion of reasonable functions in Cohen--Lenstra type heuristics Squarefree values of random polynomials are Gaussian mixtures A Sharp Bound for Additive Complements Zeros of $E_2$, quasi-periods, and Schwarz maps Support periods of polynomials and support-primitive decomposition of constacyclic codes over Galois rings Local Gan-Gross-Prasad conjecture for unitary groups: Trace formula approach for epsilon dichotomy Homological branching laws for $p$-adic and mod $p$ representations of ${\rm GL}_2$ over a $p$-adic field Higher rank spectral projector estimates and a Stein--T