プレプリどんどん: math.NT

ゼータ関数と数論的対応と類体論 - 2026/4/29の論文17本

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arXiv math.NTの新着論文17本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-29/

  1. Elementary anabelian varieties are anabelian
  2. Ramanujan, the taxicab problem for polynomials, and the abc-conjecture
  3. Linear recurrences and rational Lambert series
  4. Trilinear Kloosterman fractions I: partially fixed moduli and unbalanced convolutions
  5. Reciprocity and the Maslov Phase
  6. Congruences via Partitions with Exactly Two Part Sizes
  7. Additive index and Carlitz rank
  8. The Divisor Function along a Deterministic Orbit and the Emergence of Ladders
  9. The threshold for linear independence of multiple zeta values in positive characteristic
  10. Cyclotomic Numbers of Order $q-1$ over $\mathbb{F}_{q^r}$
  11. Some results on naive transcendence in the ring of integers modulo infinitely large primes
  12. Conditional Upper Bounds for Large Deviations and Moments of the Riemann Zeta Function
  13. On numerical semigroups with embedding dimension four
  14. A structure theorem for sets with doubling $4+\delta$
  15. The local Langlands correspondence of essentially unipotent supercuspidal representations for disconnected reductive groups
  16. A local-global correspondence for perfectoid purity
  17. Mild Pro-$p$ Groups and Ordered Monoids