We prove hypergeometric type identities for a function defined in terms of quotients of the p-adic gamma function. We use these identities to prove a supercongruence conjecture of Rodriguez-Villegas between a truncated 4F3 hypergeometric series and the Fourier coefficients of a certain weight four modular form.
|Number of pages||16|
|Journal||Proceedings of the American Mathematical Society|
|State||Published - Apr 2016|