プレプリどんどん: math.NT

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

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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/2026-05-28/

  1. Some Remarks on $\tau$-Congruent Numbers
  2. Linnik's problem for multiplicative functions
  3. $Q$-difference analogue of the Stothers-Mason theorem
  4. Good Integers: (T,k)-Subclasses and Applications to Galois Duality in Coding Theory
  5. Mixed thresholds in the Lonely Runner Conjecture
  6. Transformation Formulae and Applications for Double Lambert Series
  7. Additive Diophantine Equations involving S-Units, Factorials and Ternary Recurrences with repeated root
  8. Metrical theory of signed Engel expansions
  9. A unified proof of conjectures on the spaces of multiple $q$-zeta values
  10. On the analytic continuation of the Riemann zeta function
  11. Equidistribution of CM points and RM curves
  12. The sum-product conjecture is false for real numbers
  13. Riemann and the logarithmic derivatives of zeta
  14. Proofs of Two Positivity Conjectures of Guo
  15. Brauer--Manin obstruction from failure of Kodaira vanishing in positive characteristic