English

Chudnovsky-Ramanujan Type Formulae for the Legendre Family

Number Theory 2017-10-20 v1

Abstract

We apply the method established in our previous work to derive a Chudnovsky-Ramanujan type formula for the Legendre family of elliptic curves. As a result, we prove two identities for 1/π1/\pi in terms of hypergeometric functions.

Keywords

Cite

@article{arxiv.1710.07181,
  title  = {Chudnovsky-Ramanujan Type Formulae for the Legendre Family},
  author = {Imin Chen and Gleb Glebov},
  journal= {arXiv preprint arXiv:1710.07181},
  year   = {2017}
}