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$q$-Supercongruences on triple and quadruple sums
Published 13 Feb 2022 in math.NT | (2202.06269v2)
Abstract: Inspired by the recent work of El Bachraoui, we present some new $q$-supercongruences on triple and quadruple sums of basic hypergeometric series. In particular, we give a $q$-supercongruence modulo the fifth power of a cyclotomic polynomial, which is a $q$-analogue of the quadruple sum of Van Hamme's supercongruence (G.2).
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