Chudnovsky-Ramanujan Type Formulae for the Legendre Family

2017/09/28 by Chen, Imin, Glebov, Gleb
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1710.07181

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/π in terms of hypergeometric functions.

Related

• On Chudnovsky-Ramanujan Type Formulae
• Ramanujan-type identities for Shimura curves
• Series for 1/π Using Legendre's Relation
• Hypergeometric functions over F_p and relations to elliptic curves and modular forms
• More hypergeometric identities related to Ramanujan-type series