プレプリどんどん: math.NT

ゼータ関数とドリンフェルト加群と素数 - 2026/6/5の論文19本

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arXiv math.NTの新着論文19本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-06-05/

  1. Corrigendum to "Isomorphism classes of Drinfeld modules over finite fields"
  2. Theorem $(1+1.9)$ on the Goldbach Conjecture
  3. The Case of the Second Smallest Modulus: or why we cannot be arbitrarily careless?
  4. Hasse-Weil Zeta Functions Modulo a Prime
  5. On explicit Fourier expansions of theta lifts to ${\rm SO}(3,n+1)$ arising from elliptic newforms of level one
  6. Exotic and inverted Kloosterman sums over semisimple algebras
  7. Drinfeld modules in rank 2 with CM and S-unit j-invariants
  8. Arithmetic Wu Formulas and the Generalized Hecke Theorem
  9. Recent Progress around Cohen-Lenstra Heuristics
  10. An Elementary Analysis of the Prime Partition Function
  11. A Generalization of the Amdeberhan-Andrews-Ballantine Conjecture
  12. On a conjecture on Romanoff type sumsets
  13. No three algebraic conjugates of degree sixteen sum to zero
  14. Arithmetic statistics of isogeny Selmer groups associated to hyperelliptic curves
  15. Arithmetic Kashiwara Regularity and Orbit Classification for Filtered Strongly Equivariant $\mathcal{D}^{\dagger}$-Modules
  16. Higgs bundles on the Fargues-Fontaine curve
  17. Two notes on valued fields
  18. Decomposition Theorem for Perfectoid Rings along General Ideals
  19. Stability of the smooth Casselman-Jacquet functor