プレプリどんどん: math.NT

ディオファントス近似とモジュラー形式 - 2026/6/3の論文23本

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arXiv math.NTの新着論文23本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-06-03/

  1. A Note on Diophantine Approximation with Restricted Denominators
  2. A Fibonacci theorem for Collatz trajectories via modular graph structure
  3. Generalized polygonal number representations
  4. Explicit generators of the space of modular forms
  5. On the Schematic and Analytic Constructions of the Local Langlands Category
  6. On the Argument of the Lerch, Chowla--Selberg Formula and CM Values of $\eta(\tau)$
  7. Diagonal Condition in Multiplication Table of $\displaystyle {\, \mathbb{Z} [i] / (\alpha) }$
  8. Planes in quadratic 4-space and associated shapes of lattices
  9. Majorization and Gaussian-Mass Maximality for Construction-A Lattices from Binary Self-Dual Codes
  10. The Fontaine operator at cusps of modular curves at infinite level
  11. Pair correlation of $\alpha n^{\theta}$ for random $\theta$
  12. A $q$-Analogue of a Supercongruence Related to Van Hamme's (B.2) Supercongruence
  13. Some new results on determinants and permanents
  14. A note on partitions in the image of pre$_2$
  15. On maximal Dynkin friezes
  16. A conjecture of Glasby, Praeger, and Unger on permutations of $S_n$
  17. On $\mathbb J$-strata with Parahoric Stabilizers in Affine Deligne-Lusztig Varieties
  18. Cassini's identity for k-bonacci numbers
  19. An Iwasawa-type asymptotic formula for multiple $\mathbb{Z}_p$-coverings of graphs
  20. On the prime field spherical restriction conjecture in four dimensions: breaking the Stein-Tomas exponent and applications
  21. Complete Families of Curves in the Moduli Space of Genus g Curves
  22. Half of finite abelian groups are unit groups
  23. The Abel--Jacobi map over the twistor-$\mathbb{P}^1$ and real local class field theory