Congruences for truncated hypergeometric series 2F1
Abstract
Rodriguez-Villegas conjectured four supercongruences associated to certain elliptic curves, which were first confirmed by Mortenson by using the Gross-Koblitz formula. In this paper, we aim to prove four supercongruences between two truncated hypergeometric series 2F1. This generalizes these four Rodriguez-Villegas supercongruences.
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