An extension of a supercongruence of Long and Ramakrishna

Guo, Victor; Liu, Ji-Cai; Schlosser, Michael

doi:10.1090/proc/16179

An extension of a supercongruence of Long and Ramakrishna
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by Victor J. W. Guo, Ji-Cai Liu and Michael J. Schlosser;

Proc. Amer. Math. Soc. 151 (2023), 1157-1166

DOI: https://doi.org/10.1090/proc/16179

Published electronically: December 15, 2022

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Abstract:

We prove two supercongruences for specific truncated hypergeometric series. These include a uniparametric extension of a supercongruence that was recently established by Long and Ramakrishna [Adv. Math. 290 (2016), pp. 773–808]. Our proofs involve special instances of various hypergeometric identities including Whipple’s transformation and the Karlsson–Minton summation.

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Proceedings of the American Mathematical Society

An extension of a supercongruence of Long and Ramakrishna
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Abstract: