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arXiv · 2202.06269

$q$-Supercongruences on triple and quadruple sums

Xiaoxia Wang·Chang Xu
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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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Xiaoxia Wang, Chang Xu. 2022-02-13. $q$-Supercongruences on triple and quadruple sums. https://arxiv.org/abs/2202.06269

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