プレプリどんどん: math.NT

モック形式とp進数と楕円曲線 - 2026/4/23の論文12本

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arXiv math.NTの新着論文12本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-23/

  1. Explicit density computations for certain sets of primes in Lucas sequences
  2. On Uniqueness of Mock Theta Functions
  3. Minimal $a$-numbers of Artin--Schreier covers of ordinary curves
  4. Root numbers for twisted Fermat quotient curves II
  5. On the $I(1)$-invariants: Non-abelian Hecke algebra case
  6. On the singularities of differential equations satisfied by $E$-functions
  7. On the Hyperbolic Fractional Sum of the Divisor Function
  8. Non-vanishing of the $p$-adic constant for mock modular forms associated to a newform with real Fourier coefficients
  9. On sums of two squares and a basis of order $2$
  10. p-adic elliptic polylogarithms and cubic Chabauty
  11. Mellin transforms, transfinite diameter and rational approximations of integrals
  12. Fractal transference principle for continued fractions of Laurent series