予想と近似と数論的関数 - 2026/9/30の論文39本

arXiv math.NTの新着論文39本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-30/ Proofs of some conjectures by Bringmann, Han, Heim, and Kane on periodic sign changes in eta-quotients Primes in arithmetic progressions and Siegel zeroes p-adic Rigidity and Supercongruences at Rank Two Attractors Strongly Pseudoperfect Numbers A $q$-analogue of a binomial supercongruence On closed-form expressions for weighted mean square of the Riemann zeta function and Dirichlet $L-$functions On Vojta's harder implication, height inequalities for admissible pairs, points of bounded degree and Deligne-Mumford stacks Twisted Diophantine Approximation I: Asymptotic Theory Twisted Diophantine Approximation II: Uniform Theory Reduction of Weil-Deligne Representations Farey Symbols for the Picard Group A Local Approach to Monogenity with an Application to Lenny Jones' Conjecture The Index of Composition of polynomials and its applications Collective Contraction in the de Bruijn--Newman Heat Flow: Off-Zero Logarithmic Derivatives and Certified Barrier Refinements On Boston's Unramified Conjecture for $\GL_2$ and McLeman's $(3,3)$-Conjecture The Algebra of Parity-Twisted Crank Moments and a Prime-Detecting Expression Truncated pretentious distances of multiplicative arithmetic functions On an infinite family of cubic fields with explicit fundamental units Products of two elements of Granville's random model in residue classes Multiple Zeta Values in Positive Characteristic: A Kaneko-Zagier-Type Conjecture A closed-form law for the Salikhov-Zeilberger-Zudilin-Bai family, and computational evidence that Bai's point is optimal Weighted equidistribution of factorial prime valuations in fixed power bands An infinite family of counterexamples to Goss's conjecture on L-functions of cyclotomic function fields A negative answer to Erd\H{o}s Problem #786 Uniform Estimates for Integers with a Large Smooth Part A Short Proof of a Theorem of Pan and Zhang Ax-Schanuel for the Drinfeld $j$-function On minima of theta and Epstein zeta functions in dimension four Criterion set for diagonal forms of higher degree Restricted Binomial GCDs at Primes Congruent to -1 Smyth's Conjecture on