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幾何学的構造と特殊関数とガロア表現 - 2026/10/6の論文55本
プレプリどんどん: math.NT · 6 октября 2026 г. · 1 ч 50 мин
arXiv math.NTの新着論文55本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-06/ The Riemann-Siegel remainder as a fractional summand Gaps, isolated points, and the origin of the ray in the one-dimensional Dirichlet spectrum Exponential generating functions for Apostol-Dedekind and related sums Nonvanishing of special $L$-values of cusp forms on $\mathrm{GL}(2)$ with totally split prime power twists: without the class number hypothesis On Mahler $U$-numbers under rational maps Optimal large sieve for fixed order characters Moments and Large Geometric Monodromy for Linearly Constrained Kloosterman Families Sequential exponential-motivic periods in spatially cut-off $\phi^4_2$ Iterated cotangent-difference integrals over totally real cyclotomic fields Prescribed ideal classes and elliptic points in Ennola cubic fields Cubic Progressions on Smooth Plane Curves Note on fractional sum of the divisor function Few small primes suffice to cover unit groups Borwein-Bradley-type identities for Ramanujan-type series for $1/\pi^4$ Supercongruences for Domb numbers Proofs of some OEIS conjectures on Wythoff sums, Fibonacci and Lucas words Through the lens of the Eisenstein ideal Error Term Estimates for Sets of Remainders Dyadic Structure of the Two-Block Odd Partition Function and Theta-Weighted Congruences for $pod(n)$ An elementary proof of the Artin--Springer theorem for generalized quadratic forms over quaternion algebras On the generalized Sierpi\'nski and Riesel numbers One-level density of zeros of the Riemann zeta function weighted by its special values The main conjecture for a Vinogradov subsystem Sharp mean value estimates in the absence of translation-dilation invariance Four-square polynomial triples: quadratic classification and equal-degree obstructions On the factorization of $x^{d_{r}} + x^{d_{r-1}} + \cdots + x^{d_{2}} + x^{d_{1}} + p$ and a conjecture of C. Nicol Ab-faithfulness of absolute Galois groups in number theory Slope Stability for ${\mathbf Z}_p$-Towers of Curves Amicable numbers An Algebraic Proof of the Non-Modularity of Solutions to the Canonical Modular Differential Equation Ideal-Smooth Sets and an Explicit Upper Bound fo