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Supercongruences between truncated ${}_3F_2$ hypergeometric series

Published 19 Feb 2017 in math.NT and math.CO | (1702.07232v2)

Abstract: We establish four supercongruences between truncated ${}_3F_2$ hypergeometric series involving $p$-adic Gamma functions, which extend some of the Rodriguez-Villegas supercongruences.

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