Hypergeometric modular equations

Abstract

We record $$\left(\genfrac{}{}{0ex}{}{42}{2}\right)+\left(\genfrac{}{}{0ex}{}{23}{2}\right)+\left(\genfrac{}{}{0ex}{}{13}{2}\right)=1192$$ functional identities that, apart from being amazingly amusing by themselves, find applications in derivation of Ramanujan-type formulas for $1/\pi$ and in computation of mathematical constants.

31 pages

References in corpus (1)

• Crouching AGM, Hidden Modularity

Cited by in corpus (1)

• Exercising in complex Mahler measures: diamonds are not forever