On some supercongruences concerning truncated hypergeometric series

Kalita, Gautam; Chetry, Arjun

doi:10.1090/proc/14227

On some supercongruences concerning truncated hypergeometric series
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by Gautam Kalita and Arjun Singh Chetry PDF

Proc. Amer. Math. Soc. 147 (2019), 533-546 Request permission

Abstract:

Using some formulas of hypergeometric series and properties of the gamma function, we deduce certain $p$-adic supercongruence relations concerning truncated hypergeometric series. As consequences, we confirm the conjectural supercongruences (see Conjecture 1.2 [Proc. Amer. Math. Soc. 145 (2017), no. 2, 501–508]) posed by Bing He and extend them to all primes.

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