プレプリどんどん: math.NT

置換三項式とフラクタルとp-射影楕円曲線 - 2026/3/5の論文17本

Listen

Description

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/2026-03-05/

  1. On Permutation Trinomials and Complete Permutation Polynomials via Fiber Criteria over Finite Fields
  2. Asymptotic Mean of Digits of the $Q_s$--representation of the Fractional Part of a Real Number and Related Problems of Fractal Geometry and Fractal Analysis
  3. Linear fractals of the Bezikovitch--Eggleston type
  4. Topological, metric and fractal properties of the set of real numbers with a given asymptotic mean of digits in their $4$--adic representation in the case when the digit frequencies exist
  5. Three Questions of Erd\H{o}s-Nathanson on Asymptotic Bases of Order 2
  6. Semistable intrinsic reduction loci for the iterations of non-archimedean quadratic rational functions
  7. Polarized superspecial abelian varieties over $\mathbb{F}_p$ via hermitian lattices
  8. Lubin's conjecture for height-one $p$-adic dynamical systems over $(p^2-p)$-tame extensions
  9. Explicit p-adic Hodge theory for elliptic curves and non-split Cartan images
  10. Strong Approximation for the Character Variety of the Four-Times Punctured Sphere
  11. A trick to ensure positive Mordell-Weil rank
  12. On the defect in the generalized Grunwald--Wang problem
  13. Sums of four generalized polygonal numbers of almost prime length
  14. The Geometric Unitary Kudla Conjecture
  15. On the maximal run-length function in the L\"uroth expansion
  16. Some remarks about q-Narayana polynomials for q=-1
  17. Abelian-normal decimal expansions