Abstract
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 certain weight four modular form.
Original language | English |
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Pages (from-to) | 1493-1508 |
Journal | Proceedings of the American Mathematical Society |
DOIs | |
State | Published - Apr 2016 |