ゼータ関数とディオファントス方程式 - 2026/5/28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/2026-05-28/Some Remarks on $\tau$-Congruent NumbersLinnik's problem for multiplicative functions$Q$-difference analogue of the Stothers-Mason theoremGood Integers: (T,k)-Subclasses and Applications to Galois Duality in Coding TheoryMixed thresholds in the Lonely Runner ConjectureTransformation Formulae and Applications for Double Lambert SeriesAdditive Diophantine Equations involving S-Units, Factorials and Ternary Recurrences with repeated rootMetrical theory of signed Engel expansionsA unified proof of conjectures on the spaces of multiple $q$-zeta valuesOn the analytic continuation of the Riemann zeta functionEquidistribution of CM points and RM curvesThe sum-product conjecture is false for real numbersRiemann and the logarithmic derivatives of zetaProofs of Two Positivity Conjectures of GuoBrauer--Manin obstruction from failure of Kodaira vanishing in positive characteristic