プレプリどんどん: math.NT

素数とガロア群とディオファントス方程式 - 2026/5/22の論文22本

Listen

Description

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/2026-05-22/

  1. On the Natural Density of Monic Integer Polynomials with Roots in a Fixed Number Field
  2. Port Fillings for Primary Pseudoperfect Numbers
  3. A generalization of the Erd\H{o}s-Sierpi\'nski conjecture
  4. A Matrix-Theoretic Exact Formula for Counting Primes in Intervals Between Consecutive Odd Squares
  5. 2007: An Arboreal Odyssey: A View of Arboreal Galois Representations and Applications, from Early in the Subject's History
  6. Escaping Chaos in Random Multiplicative Functions
  7. Rational dynamics of a prime-representing map
  8. The reverse Goldbach problem and a refined Zsiflaw--Legeis theorem
  9. Coset-refined trace statistics, nodal characters, and affine branches in cubic norm tori
  10. A Uniform Random-Lattice Tail Bound for the SVP Kissing-Profile Parameter
  11. On the structure of fine Mordell-Weil groups over a $\mathbb{Z}_p$-extension and its intermediate subextensions
  12. The distribution of semi-integral points on a class of singular cubic hypersurfaces
  13. A quick distributional way to reproduce some results of the Riemann zeta function
  14. A Complete Characterization of Heron Triangles with Two Perfect Square Sides and the All-Square Equivalence Condition
  15. Arboreal Galois Groups of a PCF Map with Strictly Pre-periodic Critical Points
  16. Rethinking the work of Langlands on Eisenstein series
  17. Lines in the prime number graph
  18. Bell Transforms of Arithmetic Functions: Euler Products, Congruences, and Polynomial Sequences
  19. Bases of associated Galois modules in general wildly ramified extensions and in elementary abelian extensions of degree $p^2$
  20. From Hilbert's Tenth Problem to Quantum Speedup: Explicit Oracles for Bounded Diophantine Systems
  21. Graphs from quadratic forms and vector spaces over finite fields
  22. Closed geodesics in short intervals for random hyperbolic surfaces