プレプリどんどん: math.NT

素数と行列式とディオファントス方程式 - 2026/5/20の論文15本

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arXiv math.NTの新着論文15本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-20/

  1. The generalized Montgomery-Hooley formula: A survey
  2. Short Salem polynomials
  3. Fibonacci Numbers and Vieta Jumping for a Rational Diophantine Equation
  4. Hal\'asz theorems for Gaussian ideals in sectors and short intervals
  5. On nonconvex constellations among primes II: (458,3240)
  6. A formula of counting divisors in integers rings: a generalization of the divisor function $d_0(n)$
  7. On optimal $p$-adic uniformization of unitary Shimura curves
  8. A Determinant Congruence Conjectured by Sun
  9. Sun-type determinant and permanent congruences
  10. Two determinant evaluations in Sun's conjectures involving Legendre symbols
  11. On the Goldbach problem with restricted primes
  12. The inhomogeneous Khintchine Theorem in dimension two
  13. Split-prime supercongruence at the mixed CM point (1/6, 1/3; 1)
  14. A Fourier-Free Density-Increment Proof of Roth's Theorem
  15. Motivic Galois theory for one-loop Feynman integrals in momentum space