プレプリどんどん: math.NT

p進空間と指数和とモジュラー形式 - 2026/5/7の論文22本

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arXiv math.NTの新着論文22本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-07/

  1. A new perspective on the rank of Mazur's Eisenstein Hecke algebra
  2. Special periods and some non-tempered cases of the Gan-Gross-Prasad conjecture
  3. Rational orbits under correspondences
  4. Thin subbases of Piatetski-Shapiro sequences
  5. Fixed-point lifting and ghost periodic points for Chebyshev polynomials modulo odd prime powers
  6. A Ceiling Continued Fraction Approach to the Erd\H{o}s-Straus Conjecture: Heuristic finiteness of counterexamples
  7. Small values of signed harmonic sums and logarithmic means of multiplicative functions
  8. $\mathbb{G}_m$-cohomology of $p$-adic Stein spaces
  9. Statistics of the Genus Number of $S_3 \times C_2$ and $D_4$-fields
  10. Exponential sums over singular binary quintics
  11. Non-Expansive Matrix Based number Systems
  12. Multiplicative $f$-ic forms on algebraic varieties arising from Thaine's generalized Jacobi sums
  13. The Logarithmic Asymptotic Phenomenon for Generalized Markov-Hurwitz Equations
  14. The top cohomology of principal congruence subgroups of special linear groups over Euclidean number rings
  15. Theta functions and transformations of bilateral basic hypergeometric series
  16. Appell function proofs of recent and old mock theta function identities
  17. On a polynomial involving quadratic residues modulo primes
  18. A Synthesis of Hidden Subgroup Quantum Algorithms and Quantum Chemical Dynamics
  19. $p$-adic Manifold Learning and Benchmark Tasks from Impartial Games
  20. The McKay correspondence and local heights for wild-by-tame split metacyclic groups
  21. Energy and Vertex Energy of Modified Divisor Prime Graphs
  22. The Erd\H{o}s-P\'osa property for prime-length cycles fails (and beyond)