Chudnovsky-Ramanujan Type Formulae for the Legendre Family
Mathematics - Number Theory
arxiv: Computer Science::Symbolic Computation | Mathematics::Classical Analysis and ODEs
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 $1/\pi$ in terms of hypergeometric functions.