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 dimensionsAn explicit elementary proof of no Landau--Siegel zerosNorm-Euclideanity in cyclic fieldsOn the Open Problem in the 2023 Simon Marais Mathematics CompetitionAspects of quadratic Chabauty via modular formsComplete Determination of the Gallai--van der Waerden Number \(\mathrm{GW}(r;3,3)\)OpenAI partially disproves Littlewood's 1961 $L^\alpha$-flat theoremThe exponent $1/4$ in three complexity bounds: integer bases, continued fractions, and the $(3/2)^n$ steering wordIrrationality Exponents of Real CM Elliptic Periods and Powers of the Lemniscate PeriodOn the arithmetic Siegel--Weil formula for orthogonal Shimura varieties over a general totally real fieldLandau-Siegel zeros over a base field and effective Brauer-SiegelNonvanishing of 2-primary Kolyvagin classes via simultaneous quadratic twistsDenominators of Hodge integrals and Minkowski numbersRelative Hitchin fibrations and endoscopy for Unitary Friedberg--Jacquet varieties$\SL_3$ dual pairsAsymptotics of local height pairing without Hodge conjectureA general quantified Wiener-Ikehara theoremExact Archimedean Flicker--Rallis Periods on Cohomological Minimal $K$-TypesNonexistence of Constant Congruences for the Cumulative Partition FunctionOpen dynamics with a moving hole: inhomogeneous IFS and exponential separation conditionLog blow-ups and global resolutions in rigid geometryCohomology of integral structure sheaves for open varietiesLocal heights for nef toric compactified divisorsDeep holes of full-length Reed--Solomon codes: uniform bounds and exact classificationsLanglands-Shahidi gamma factors and local transfer in families