プレプリどんどん: math.NT

関数体と行列式とL関数と近似理論 - 2026/5/18の論文16本

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arXiv math.NTの新着論文16本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-18/

  1. Improvements to Jacobian Arithmetic in Global Function Fields
  2. Counting solutions to the quadratic determinant equation
  3. Explicitly combing hedgehogs over fields of Stufe 4
  4. On the Face Map of the Admissible Set With Iwahori Level
  5. Bailey pairs, Eichler integrals and unified Witten-Reshetikhin-Turaev invariants
  6. Positive density for Sun's $2^k+m$ conjecture
  7. Eisenstein circle packings and the Eisenpint Schmidt arrangement
  8. Duality of analytic Hopf algebras and the Amice transform
  9. Hecke Eigenvalues of Ikeda Lifts
  10. On Drinfeld's representability theorem
  11. Extensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequality
  12. A Weyl-type theorem for Diophantine approximations driven by LCA groups and applications
  13. Local newforms for generic representations of $p$-adic ${\rm SO}_{2n+1}$: Reduction
  14. A new construction of permutation polynomials over $\mathbb{F}_{q^3}$
  15. On the number of directions formed by Cartesian products in $\mathbb{F}_{p^2}^2$
  16. Evaluation of two determinants involving $q$-integers