プレプリどんどん: math.NT

プレシステックとラマヌジャンと楕円曲線 - 2026/4/1の論文20本

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arXiv math.NTの新着論文20本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-01/

  1. Truncated Plethystic Exponentials Preserve Power Sum Constraints
  2. On Eisenstein series identities and new identities connecting Ramanujan-G\"ollnitz-Gordon continued fraction and Ramanujan's continued fraction of order four
  3. On non-Archimedean and motivic distributions defined by kernels
  4. Congruences and ramified primes in fields of coefficients of newforms
  5. $D(-1)$-triples of triangular numbers
  6. Analytic rank-one elliptic curves over function fields and their rank over certain ring class fields
  7. From Orientations to $\ell$-adic Period Vectors
  8. Weber modular curves and modular isogenies
  9. $p$-adic Character Neural Network
  10. ABC implies that Ramanujan's tau function misses almost all primes
  11. Various conjectural series identities
  12. A counterexample to a conjecture of S\'ark\"ozy on sums and products modulo a prime
  13. Some geometric series for Euler's constant
  14. Composition of random functions and word reconstruction
  15. Hypergeometric Bernoulli Polynomials Defined on Simplicial $d$-Polytopic Numbers
  16. Uniform optimal-order Wasserstein quantisation
  17. A Finite-State Proof of the Well-Definedness of a Perturbed Hofstadter Sequence
  18. Reciprocity of Skew Hall-Littlewood-Schubert Series
  19. Non-Archimedean Analogue of Chase's Lemma
  20. Short proofs in combinatorics and number theory