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SUPERCONGRUENCES INVOLVING $p$-ADIC GAMMA FUNCTIONS
Published online by Cambridge University Press: 30 May 2018
Abstract
We establish some supercongruences for the truncated $_{2}F_{1}$ and $_{3}F_{2}$ hypergeometric series involving the $p$-adic gamma functions. Some of these results extend the four Rodriguez-Villegas supercongruences on the truncated $_{3}F_{2}$ hypergeometric series. Related supercongruences modulo $p^{3}$ are proposed as conjectures.
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- Research Article
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- © 2018 Australian Mathematical Publishing Association Inc.
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