ゼータ関数と数論的対応と類体論 - 2026/4/29の論文17本

arXiv math.NTの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-29/Elementary anabelian varieties are anabelianRamanujan, the taxicab problem for polynomials, and the abc-conjectureLinear recurrences and rational Lambert seriesTrilinear Kloosterman fractions I: partially fixed moduli and unbalanced convolutionsReciprocity and the Maslov PhaseCongruences via Partitions with Exactly Two Part SizesAdditive index and Carlitz rankThe Divisor Function along a Deterministic Orbit and the Emergence of LaddersThe threshold for linear independence of multiple zeta values in positive characteristicCyclotomic Numbers of Order $q-1$ over $\mathbb{F}_{q^r}$Some results on naive transcendence in the ring of integers modulo infinitely large primesConditional Upper Bounds for Large Deviations and Moments of the Riemann Zeta FunctionOn numerical semigroups with embedding dimension fourA structure theorem for sets with doubling $4+\delta$The local Langlands correspondence of essentially unipotent supercuspidal representations for disconnected reductive groupsA local-global correspondence for perfectoid purityMild Pro-$p$ Groups and Ordered Monoids