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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/2026-02-18/

  1. $\mathcal L$-invariants and deep congruences between newforms
  2. Szemer\'edi's Theorem Along Cantor Sets of Integers
  3. Relations for partitions with distinct even parts except the largest part which is even
  4. On the discriminant and index of a certain class of polynomials
  5. A Weighted Words Study of MacMahon's and Russell's Modulo 6 Identities
  6. Space-filling lattice designs for computer experiments
  7. Subgroups with all finite lifts isomorphic are conjugate
  8. Steenrod operations and symplectic arithmetic duality
  9. Asymptotics and zero distribution of geometric polynomials
  10. Conjugacy classes of regular integer matrices
  11. Power monoids and their arithmetic: a survey
  12. On Graham's rearrangement conjecture