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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/2026-04-08/

  1. Asymptotic distribution of CM points on the reduction of the Drinfeld modular curve
  2. On Elliptic Sequences over Commutative Rings
  3. A statistical investigation of a divisor-sum function
  4. Matchable numbers
  5. Proof of a conjecture of Banerjee,Bringmann and Bachraoui on infinite families of congruences
  6. There are infinitely many Hilbert cubes of dimension 3 in the set of squares
  7. Partial sums of random multiplicative functions with supercritical divisor twists
  8. On the computation of base-change lifts and lifts of Hida families
  9. Small gaps between consecutive zeros of the Riemann zeta-function
  10. On Iwasawa theory of abelian varieties over $\mathbb{Z}_p^2$-extension with applications to Diophantine stability and integally Diophantine extensions
  11. Asymptotic expansions of integrals and Nielsen's polylogarithms
  12. Theta Cycles of Modular Forms Modulo $p^2$
  13. Frobenius nonclassicality of generalized Fermat curves with respect to conics
  14. On the largest strongly connected component of randomly oriented divisor graphs
  15. Structural Hierarchy of Reid Class of non-Archimedean Banach Spaces
  16. Analytically generated sharply o-minimal structures