English

Special hypergeometric motives and their $L$-functions: Asai recognition

Number Theory 2022-12-02 v3 High Energy Physics - Theory Algebraic Geometry Classical Analysis and ODEs Combinatorics

Abstract

We recognize certain special hypergeometric motives, related to and inspired by the discoveries of Ramanujan more than a century ago, as arising from Asai LL-functions of Hilbert modular forms.

Cite

@article{arxiv.1906.07384,
  title  = {Special hypergeometric motives and their $L$-functions: Asai recognition},
  author = {Lassina Dembélé and Alexei Panchishkin and John Voight and Wadim Zudilin},
  journal= {arXiv preprint arXiv:1906.07384},
  year   = {2022}
}

Comments

18 pages

R2 v1 2026-06-23T09:56:31.788Z