qq-Supercongruences on triple and quadruple sums

preprint2022arXivOpen access

Abstract

Inspired by the recent work of El Bachraoui, we present some new qq-supercongruences on triple and quadruple sums of basic hypergeometric series. In particular, we give a qq-supercongruence modulo the fifth power of a cyclotomic polynomial, which is a qq-analogue of the quadruple sum of Van Hamme's supercongruence (G.2).

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