幾何と周期と零点の解析 - 2026/10/23の論文25本

arXiv math.NTの新着論文25本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-23/ Simultaneous popular polynomial differences in higher dimensions An explicit elementary proof of no Landau--Siegel zeros Norm-Euclideanity in cyclic fields On the Open Problem in the 2023 Simon Marais Mathematics Competition Aspects of quadratic Chabauty via modular forms Complete Determination of the Gallai--van der Waerden Number $\mathrm{GW}(r;3,3)$ OpenAI partially disproves Littlewood's 1961 $L^\alpha$-flat theorem The exponent $1/4$ in three complexity bounds: integer bases, continued fractions, and the $(3/2)^n$ steering word Irrationality Exponents of Real CM Elliptic Periods and Powers of the Lemniscate Period On the arithmetic Siegel--Weil formula for orthogonal Shimura varieties over a general totally real field Landau-Siegel zeros over a base field and effective Brauer-Siegel Nonvanishing of 2-primary Kolyvagin classes via simultaneous quadratic twists Denominators of Hodge integrals and Minkowski numbers Relative Hitchin fibrations and endoscopy for Unitary Friedberg--Jacquet varieties $\SL_3$ dual pairs Asymptotics of local height pairing without Hodge conjecture A general quantified Wiener-Ikehara theorem Exact Archimedean Flicker--Rallis Periods on Cohomological Minimal $K$-Types Nonexistence of Constant Congruences for the Cumulative Partition Function Open dynamics with a moving hole: inhomogeneous IFS and exponential separation condition Log blow-ups and global resolutions in rigid geometry Cohomology of integral structure sheaves for open varieties Local heights for nef toric compactified divisors Deep holes of full-length Reed--Solomon codes: uniform bounds and exact classifications Langlands-Shahidi gamma factors and local transfer in families