指数和とディオファントス方程式と鏡像対称性 - 2026/4/30の論文11本

arXiv math.NTの新着論文11本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-30/Estimating the tail of the singular product in the multivariate Bateman-Horn conjectureCombinatorial sums derived from properties of Legendre polynomialsMonsky Matrix and 2-Selmer rankThe $p$-powers dividing certain exponential sumsSolution to the Erdos problem on distinct residues of factorialsFamilies of Unit Equations and Exponential Diophantine Problems via Integral PointsImproved bounds for the Fourier uniformity conjectureGeneralized Estermann problem for non-integer powers with almost proportional summandsOn the automorphisms of the power semigroups of a numerical semigroupMultiplicative convolution and double shuffle relationsOn Arithmetic Mirror Symmetry for smooth Fano fourfolds