プレプリどんどん: math.NT

ガロア表現と有限体とマルコフ数 - 2026/4/21の論文30本

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arXiv math.NTの新着論文30本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-21/

  1. M\"obius disjointness conjecture for Furstenberg's flow on $\mathbb{T}^\omega$ in short intervals
  2. Reduction mod $p$ of semi-stable representations of some super-Breuil weights
  3. Geometry-of-numbers methods over global fields II: Coregular representations
  4. On Regular Higher Power Rational Diophantine Triples
  5. Non-liftability of Families of Abelian Varieties with Small $l$-adic Local System
  6. The Limiting Distribution of Elliptic Dedekind Sums
  7. Supersingular Drinfeld modules, Brandt matrices, and rank-metric codes
  8. The sum-product phenomenon for dense subsets of finite fields
  9. On the normality of the concatenated Fibonacci constant
  10. Markov fractions and Cohn matrices
  11. Orderings of Generalized k-Markov Numbers
  12. Resolutions of spaces of crystalline representations and modularity
  13. Effective Joint Sato-Tate Distribution and Sign Change of Symmetric Power Coefficients
  14. A remark on an integral structure of the imperfect coefficient ring of $(\varphi,\Gamma)$-modules
  15. Explicit Kodaira-Spencer maps over PEL Shimura varieties
  16. Semistable Reduction Theorem for Overconvergent $F$-isocrystals over Laurent Series Fields
  17. Duality Between Prime Factors and The Prime Number Theorem For Arithmetic Progressions -- Higher Order Dualities
  18. Sophie Germain Primes and the Totient of Fibonacci Numbers
  19. Solvable Descent and the Grunwald Problem for Solvable Groups
  20. A Rademacher exact type formula for pod$_2(n)$
  21. Families of symplectic Galois representations over small parabolic eigenvarieties for Siegel cuspforms of genus $2$
  22. A primality test for $Kp^\ell - 1$ numbers
  23. Maximal quadrics over finite fields and minimal codewords of projective Reed-Muller codes
  24. Implementing p-adic numbers in Macaulay2 using its foreign function interface and FLINT
  25. Markov numbers of semigroups
  26. Elementary symmetric polynomials and a potentially injective family of maps on partitions
  27. Forbidden subgraphs in divisor graphs and an Erd\H{o}s divisibility problem
  28. Superspecial generalized Howe curves of genus 4, 5, and 6 with completely decomposable Jacobians
  29. Unirational algebraic groups and tame ramification
  30. Near-optimal density theorems for large dilates of large point configurations