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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/2026-03-16/

  1. Periodic Points of Power Maps in Finite Matrix Groups and Algebras
  2. Higher Fitting ideals and the structure of anticyclotomic Shafarevich-Tate groups
  3. Proof of a Conjecture on Overcolored Partition Restricted by Parity of the Parts
  4. A geometric proof of Lagrange's theorem for continued fractions
  5. A vanishing theorem for residual Eisenstein cohomology
  6. Derived geometric Satake equivalence on the Beilinson-Drinfeld Grassmannian with one leg in mixed characteristic
  7. Disproof of the uniform Littlewood conjecture
  8. The weight two and opposite sign cases for the Fourier relative trace formulas
  9. Jacobian graphs
  10. Sizes of Pre-Images of the Minimal Euclidean Function on the Gaussian Integers
  11. A Tate-Type Theorem for Crystalline Classes in the 1-Motivic Category
  12. Sharp threshold for universality of cokernels of classical random matrix models over the $p$-adic integers