モジュラーGalois表現と楕円曲線と整数分割 - 2026/3/17の論文29本

arXiv math.NTの新着論文29本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-17/Bogomolov property for modular Galois representations with nontrivial nebentypusDirichlet Series and Asymptotics for Generalized Legendre FactorialsMurmurations of Elliptic Curves over Function FieldsMultiple standard twists of $L$-functionsA note on the invariants of the $L$-functionsParity of parts and excludant statistics in partitionsThe multi-height distribution implies the Batyrev-Manin principleA Totient Function Associated with Variants of GroupsEuler Characteristics of a Family of Congruence Subgroups of $GL_m(\Z)$On some results of Korobov and Larcher and Zaremba's conjectureSeparable integer partition classes and Slater's list -- IElliptic curves with rank one and nontrivial 2-part of Tate Shafarevich groups over the $\mathbb{Z}_2$-extension of $\mathbb{Q}$Arithmetical structure of sumset intersectionsCounting Polynomials via Galois Actions on Root SubsetsHilbert cubes in sets with arithmetic propertiesMultiplicities of eigenvalues and quadratic representations of integersParatrophic Determinants over $\mathbb{Z}/N\mathbb{Z}$ via Discrete Fourier TransformBounded Additive Relation and Application to Finite Multiple Zeta ValuesPrimitive points on some low degree Fermat curvesInfinite families of APN permutations in constrained trivariate classes over $\mathbb{F}_{2^m}$Variance of GL(2) Fourier coefficients in arithmetic progressionsExplicit formula for multi-indexed poly-Bernoulli numbers$p$-adic $L$-functions for Hecke characters of totally imaginary fieldsLifts of unramified twists and local-global principlesDiversity, equity, and inclusion for problems in additive number theoryOn Jiang's wavefront sets conjecture for representations in local Arthur packetsAn analogue of Rogers' theorem on sieving in commutative ringsNegative $\beta$-transformations: invariant measures, subshifts of finite type and matching propertyTwisted endoscopic character relation for toral supercuspidal L-packets of classical groups