プレプリどんどん: math.NT

ゼータ関数と数体とモジュラー形式 - 2026/5/27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/2026-05-27/

  1. A note on uniform version of Littlewood inequality and Fibonacci numbers
  2. On planar functions over $\mathbb{F}_{q^3}$
  3. Problems in additive number theory, VII: The structure of additive $h$-bases for $n$
  4. Connected components of the ranges of twisted divisor functions on number fields
  5. Notes on congruence zeta functions via a Berkovich approach
  6. Towards a generalized Maeda conjecture for modular forms with quadratic nebentypus
  7. Saturation and No-Go Theorems for Scalar Poisson Certificates of Gaussian Mass Maximality
  8. Lower bounds for the Hausdorff dimension of expressible sets
  9. Ultra Kolyvagin systems and higher Fitting ideals of Iwasawa Selmer groups
  10. Words for generalized Markov numbers
  11. Products involving the real parts of Jacobi sums and related cyclotomic matrices
  12. Ekedahl-Oort strata under natural embeddings of orthogonal and unitary Shimura varieties
  13. The Northcott Property for Composites of Number Fields of Bounded Degree
  14. Inhomogeneous Approximation by Sums of Roots
  15. The V/L recursion for Macdonald's 7th Variation Schur polynomials
  16. Prime Certificates for Exact Vertex-Coprime Ramsey Numbers
  17. Rank-two recurrence results for polynomials and questions of dynamical Mordell--Lang type
  18. A Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$
  19. Structural properties and tilting correspondences of perfectoid towers