プレプリどんどん: math.NT

楕円曲線と素数とガロア群と L 関数 - 2026/5/15の論文19本

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arXiv math.NTの新着論文19本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-15/

  1. A Generalized Closed Form of Ramanujan-Type Fourier Cosine Transform via Meijer's G-Function
  2. Parity vectors and paradoxical sequences in the accelerated Collatz map
  3. Local certification of residual squareclasses in $\mathbb Q(\sqrt{2},\sqrt{pq},\sqrt{ps})$: one-bit, affine, and finite-choice Hilbert-symbol frameworks
  4. Presentations of Galois groups of unramified extensions of global fields and its predicted distribution
  5. Kodaira-Neron statistics for rational elliptic curves with $j$-invariant 0 and 1728
  6. How Twist Class Redundancy Drives the Prediction of Traces of Frobenius of Elliptic Curves
  7. L-indistinguishability for covering groups of algebraic tori
  8. Fibonomial determinants
  9. A density version of quaternary Goldbach problem
  10. On Maximal Prime Gaps
  11. Patterns on elliptic curves beyond Bremner's conjecture
  12. On Vu's restricted box estimate in Waring's problem
  13. Solutions for Hecke Sum Questions of Banerjee and Bringmann
  14. Real geometric transcendence for the Gamma function
  15. Construction of Non-special Divisors on Kummer Covers With Arbritary Ramification For LCP Codes
  16. McShane-Rivin norm balls and simple-length multiplicities
  17. Sophie Germain, math\'ematicienne extraordinaire: A story stranger than fiction
  18. The R\'enyi entropy of the order of a random permutation
  19. Improved Ramsey bounds for generalized Schur equations