楕円曲線と有理点と数論的予想 - 2026/5/13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/2026-05-13/The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_2$ of some elliptic curvesTwo dimensional arithmetic progressions avoiding squaresExplicit determination of a class of permutation rational functions in any characteristicBigness of Canonical Quadratic Points on Curves of Genus 4Weil-Moore animaSquared edge lengths of regular simplices with rational verticesHomological sieve and Manin's conjectureAnalytic Properties of Necklace PolynomialsLocal height arguments toward the dynamical Mordell-Lang conjecture$\ell^{p}$ improving estimates for multilinear forms motivated by distance graphs