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arXiv · 1605.06632

Congruences for truncated hypergeometric series ${}_2F_1$

Ji-Cai Liu
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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 ${}_2F_1$. This generalizes these four Rodriguez-Villegas supercongruences.

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Ji-Cai Liu. 2016-05-21. Congruences for truncated hypergeometric series ${}_2F_1$. https://arxiv.org/abs/1605.06632

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