L関数とモジュラー形式とガロア群 - 2026/10/1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/2026-10-01/ A Romanoff-type theorem for a multiset of products of powers Strong Artin Conjecture for Generalized Octahedral Representations in $\mathrm{GL}_3$ Large gaps between Romanoff numbers Euclidean Triangles Associated with Diophantine $D(4)$-triples Zeta elements for $p$-ordinary modular forms over imaginary quadratic fields and applications Monogenity of the irreducible factors of $(k,t)$-Fibonacci and $(k,t)$-Lucas polynomials On a problem of Nathanson related to strongly minimal asymptotic bases of order $h$ The twisted convolution identity and ghost $r$-SICs from finite quantum dilogarithms The cardinality of a set containing the pairwise sums of four positive integers Limit distribution of algebraic integral points on curves Finite-slope p-adic L-functions for $\mathrm{GL}_{3}$ On the Quotient of a Pseudo-null Module Asymptotic and Arithmetic Aspects of Generalized Colored Overpartitions The sixth moment of a degree two $L$-function of arbitrary level Atkin--Lehner Quotients of Modular Curves at Primes of Bad Reduction Sharp spherical extension theorem in $\mathbb F_q^{2m}$ and applications On a question of Jones on tracelike vectors, cusp forms, and von Neumann algebras Rational quadrilaterals and tetrahedra -- the involutions of Kummer, Heegner and Regge Galois groups of random polynomials of large degree Semi-stable models, local heights and quadratic Chabauty for $X_0(N)^*$ A proof of Hirose's duality conjecture Resurgent rigidity of mock theta functions: uniqueness and natural boundary crossing On Greenberg's conjecture for rational elliptic curves at Eisenstein primes On c-polynomial factorisations The Bias Conjecture for One-Parameter, Non-Isotrivial Elliptic Curve Families On the coefficients of the asymptotic of analytic torsion Canonical representatives and interval independence in Ekedahl's equivalence Diameter and radius of an additive-multiplicative graph On Irreducibility and Multiplicity One Property for Non-Archimedean Type-II Theta Lifting