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

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/The generalized Montgomery-Hooley formula: A surveyShort Salem polynomialsFibonacci Numbers and Vieta Jumping for a Rational Diophantine EquationHal\'asz theorems for Gaussian ideals in sectors and short intervalsOn nonconvex constellations among primes II: (458,3240)A formula of counting divisors in integers rings: a generalization of the divisor function $d_0(n)$On optimal $p$-adic uniformization of unitary Shimura curvesA Determinant Congruence Conjectured by SunSun-type determinant and permanent congruencesTwo determinant evaluations in Sun's conjectures involving Legendre symbolsOn the Goldbach problem with restricted primesThe inhomogeneous Khintchine Theorem in dimension twoSplit-prime supercongruence at the mixed CM point (1/6, 1/3; 1)A Fourier-Free Density-Increment Proof of Roth's TheoremMotivic Galois theory for one-loop Feynman integrals in momentum space