プレプリどんどん: math.NT

有限体とL関数と格子点 - 2026/5/26の論文22本

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arXiv math.NTの新着論文22本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-26/

  1. On some arithmetic conditions of recurrent sequences modulo prime p
  2. On the Harris-Viehmann conjecture for Hodge-Newton reducible local Shimura data of abelian type
  3. On the binary digits of the Erd\H{o}s-Borwein constant
  4. The $\theta = \infty$ Conjecture and the Riemann Hypothesis for Automorphic $L$-functions
  5. Counting Rational Points on Danielewski and Double Danielewski Surfaces over Finite Fields
  6. Tribonacci properties of identities, matrices, and determinants
  7. Valuation Separation for Coprime Lucas Products
  8. Equality in a Reverse Minkowski Shell Bound for Integral Lattices via Spherical Designs
  9. Simultaneous Periods for Families of Rational Maps Modulo Primes
  10. Hilbert-90 quotient maps, torsion defects, and symmetric monodromy
  11. Lubin-Tate representations over nontrivial finite Galois extensions of $\mathbb{Q}_{p}$ are not Aut-intrinsically Hodge-Tate
  12. Variational estimate for the family of discrete averages associated to simplices
  13. The Frobenius problem for shifted square sequences starting with a multiple of 4
  14. A Note on Abelian Monogenic Trinomials
  15. Incidence Obstructions for Power Products in Elliptic Divisibility Sequences
  16. Banded quadratic digit functions along irreducible polynomials over finite fields
  17. A proof of the $4,7$ cases of Sylvester's conjecture on cube sums
  18. Boundary CM points and class groups of small exponent
  19. Orbit decomposition statistics for discrete dynamical systems: the Ces\`aro mean and a large deviation principle
  20. On the Maximality, Weierstrass Semigroups, and Automorphism Group of the Curve $Y^{q+1} = X^n(X^n + 1)$
  21. The $\Delta$ property: a bridge between split graphs and Number Theory
  22. Lattice point counting problems on step-two nilpotent Lie groups