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

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/Truncated Plethystic Exponentials Preserve Power Sum ConstraintsOn Eisenstein series identities and new identities connecting Ramanujan-G\"ollnitz-Gordon continued fraction and Ramanujan's continued fraction of order fourOn non-Archimedean and motivic distributions defined by kernelsCongruences and ramified primes in fields of coefficients of newforms$D(-1)$-triples of triangular numbersAnalytic rank-one elliptic curves over function fields and their rank over certain ring class fieldsFrom Orientations to $\ell$-adic Period VectorsWeber modular curves and modular isogenies$p$-adic Character Neural NetworkABC implies that Ramanujan's tau function misses almost all primesVarious conjectural series identitiesA counterexample to a conjecture of S\'ark\"ozy on sums and products modulo a primeSome geometric series for Euler's constantComposition of random functions and word reconstructionHypergeometric Bernoulli Polynomials Defined on Simplicial $d$-Polytopic NumbersUniform optimal-order Wasserstein quantisationA Finite-State Proof of the Well-Definedness of a Perturbed Hofstadter SequenceReciprocity of Skew Hall-Littlewood-Schubert SeriesNon-Archimedean Analogue of Chase's LemmaShort proofs in combinatorics and number theory