English

Hypergeometric modular equations

Number Theory 2019-12-04 v1 Classical Analysis and ODEs

Abstract

We record (422)+(232)+(132)=1192 \binom{42}2+\binom{23}2+\binom{13}2=1192 functional identities that, apart from being amazingly amusing by themselves, find applications in derivation of Ramanujan-type formulas for 1/π1/\pi and in computation of mathematical constants.

Keywords

Cite

@article{arxiv.1609.07276,
  title  = {Hypergeometric modular equations},
  author = {Shaun Cooper and Wadim Zudilin},
  journal= {arXiv preprint arXiv:1609.07276},
  year   = {2019}
}

Comments

31 pages

R2 v1 2026-06-22T15:58:59.583Z