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arXiv math.NTの新着論文21本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-27/

  1. On $\frac{1}{n!}$ in Cantor sets
  2. 2- and 3-Dissections of Second-, Sixth-, and Eighth-Order Mock Theta Functions
  3. On the Density of Coprime Reductions of Elliptic Curves
  4. Igusa Stacks and the Cohomology of Shimura Varieties II
  5. Arithmetic exceptionality of Latt\`{e}s maps
  6. Weak approximations, Diophantine exponents and two-dimensional lattices
  7. Analytical continuation of prime zeta function for $\Re(s)>\frac{1}{2}$ assuming (RH)
  8. Stern polynomials and algebraic independence
  9. The Prime times of twisted Diophantine approximation
  10. Second order Recurrences, quadratic number fields and cyclic codes
  11. Computing the local $2$-component of a non-selfdual automorphic representation of $\mathrm{GL}_3$
  12. Poly-Bernoulli numbers from shifted log-sine integrals
  13. A note on gamma factors for pairs
  14. An integrality phenomenon
  15. Murmurations in the depth aspect
  16. A conditional bound for the least prime in an arithmetic progression
  17. Iterated beta integrals
  18. Quadratic Residue Codes over $\mathbb{Z}_{121}$
  19. Linear theories of global fields with absolute values
  20. Local coherence for representations of amalgams
  21. Exceptional loci in algebraic surfaces