相互法則とL関数とガロア表現 - 2026/4/24の論文10本

arXiv math.NTの新着論文10本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-24/On the reciprocity law in $\mathbb{F}_{q}[t]$Extremal Problems for GCDs and LCMs in Higher DimensionsRelations between higher level Hurwitz class numbersMoments and joint nonvanishing of symplectic $L$-functionsConsecutive non-square nom-primitive pairs in as finite fieldThe Smallest Invariant Factor of Elliptic Curves, and CoincidencesGalois representations over convergent de Rham period ringResidues of a tropical zeta function for convex domainsSpherical Cap $L_2$ Discrepancy -- Blessing of Dimensionality and a Balanced Large-Cap VariantLusztig constants and endoscopy