An extension of a supercongruence of Long and Ramakrishna

2020/12/26 by Guo, Victor J. W., Liu, Ji-Cai, Schlosser, Michael J.
#11A07 #11B65 #33C20 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2012.13672

Abstract

We prove two supercongruences for specific truncated hypergeometric series. These include an uniparametric extension of a supercongruence that was recently established by Long and Ramakrishna. Our proofs involve special instances of various hypergeometric identities including Whipple's transformation and the Karlsson--Minton summation.

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