プレプリどんどん: math.NT

楕円曲線と有理点と数論的予想 - 2026/5/13の論文10本

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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/

  1. The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_2$ of some elliptic curves
  2. Two dimensional arithmetic progressions avoiding squares
  3. Explicit determination of a class of permutation rational functions in any characteristic
  4. Bigness of Canonical Quadratic Points on Curves of Genus 4
  5. Weil-Moore anima
  6. Squared edge lengths of regular simplices with rational vertices
  7. Homological sieve and Manin's conjecture
  8. Analytic Properties of Necklace Polynomials
  9. Local height arguments toward the dynamical Mordell-Lang conjecture
  10. $\ell^{p}$ improving estimates for multilinear forms motivated by distance graphs