L-不変量と深い合同と新形態と分割と多項式 - 2026/2/18の論文12本

arXiv math.NTの新着論文12本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-02-18/$\mathcal L$-invariants and deep congruences between newformsSzemer\'edi's Theorem Along Cantor Sets of IntegersRelations for partitions with distinct even parts except the largest part which is evenOn the discriminant and index of a certain class of polynomialsA Weighted Words Study of MacMahon's and Russell's Modulo 6 IdentitiesSpace-filling lattice designs for computer experimentsSubgroups with all finite lifts isomorphic are conjugateSteenrod operations and symplectic arithmetic dualityAsymptotics and zero distribution of geometric polynomialsConjugacy classes of regular integer matricesPower monoids and their arithmetic: a surveyOn Graham's rearrangement conjecture