An extension of a supercongruence of Long and Ramakrishna

An extension of a supercongruence of Long and Ramakrishna

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 identiti...

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Veröffentlicht in:Proceedings of the American Mathematical Society 2023-03, Vol.151 (3), p.1157-1166
Hauptverfasser: Guo, Victor, Liu, Ji-Cai, Schlosser, Michael
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/16179