𝑁-tuple sum analogues for Ramanujan-type congruences

El Bachraoui, Mohamed

doi:10.1090/proc/16061

$N$-tuple sum analogues for Ramanujan-type congruences
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by Mohamed El Bachraoui

Proc. Amer. Math. Soc. 151 (2023), 1-16

DOI: https://doi.org/10.1090/proc/16061

Published electronically: July 15, 2022

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Abstract:

In this paper we prove supercongruence relations for truncated $N$-tuple sums of basic hypergeometric series. As an application, we give double, triple, and quadruple sum analogues of some Ramanujan-type supercongruences.

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