q-Supercongruences on triple and quadruple sums
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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