モジュラー形式と楕円曲線と分割数 - 2026/6/15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/2026-06-15/On $U_p$-congruences for meromorphic modular forms with supersingularitySecondary terms for first moments of Selmer groups of twists of elliptic curves over global function fieldsResidue Restrictions for a Two-Color Partition SeriesAlmost perfect inhomogeneous powers in arithmetic progressionCounting the number of $1_{n}$-preperiodic integral points of a discrete dynamical system with applications from arithmetic statistics, VIIA Weil Sum Approach to Permutation Polynomials over Quadratic Extensions of Finite FieldsSum of parts in overpartitions and partitions without repeated odd partsSemistable reduction of smooth quarticsExplicit local stable resolution of cuspsValidated numerics for the Gauss problem on continued fractionsAdelic line bundles over a N\'eron model