モジュラー形式とガロア群の解析 - 2026/10/19の論文34本

arXiv math.NTの新着論文34本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-19/ Space-filling curves and small-ball probabilities for the Kloosterman process A Non-Split Motohashi Formula for Toric Periods over Number Fields Density Bounds in Hua's Theorem for Prime Squares Galois Groups of Trinomials with Small Coefficients Poisson-Dirichlet statistics for the log-modulus of the Riemann zeta function on expanding intervals near the critical line Metric Poissonian Pair Correlation Property Part 2: The Case $n\log n$ Metric Poissonian Pair Correlation Property Part 1: The Case $n+\log n$ Unconditional Bounds for Two, Three and Four Consecutive Moderate Gaps between Zeros of the Riemann Zeta Function Improved explicit Burgess-strength bounds for composite moduli Arithmeticity of critical $L$-values for Hilbert-Siegel modular forms in the left half plane and $s = 1$ Zagier's 2-3-2 formula for multiple Eisenstein series Minimal asymptotic $g$-adic bases from arbitrary partitions A $\mathrm{GL}_3$ level analog of Selberg's result for $S(t)$ Note on the largest prime factors of consecutive integers Improved $L^p$ maximal estimates for higher-degree Weyl sums Mahler Method and Vanishing Theorem More than 8/9 zeros of the Riemann zeta function are simple or on the critical line Lifting mod $p^n$ Galois representations On a series related to the M\"obius function Fourier dimension for exactly approximable matrices Cuspidal Class Number Formulae for Intermediate Modular Curves of Prime Level Confluence relations, Hoffman basis over \mathbb{Z}_{(2)}, and the Deligne--Drinfeld conjecture The distribution of $\alpha p$ modulo one in real quadratic function fields Near optimal gap in the Lonely Runner Conjecture A duality principle for the neighbourhood of manifolds and applications to counting rational points near curves A $p$-adic Riemann--Hilbert correspondence over Robba rings A Simple Proof of I. Chowla's Theorem on Addition of Residue Classes Presentability of categories of localizations and analytic rings Rational Area Profiles of Regular Polygons Cut by Two Congruent Diagonals Whittaker Functionals for Exceptional Representations Seven ordere