2022/02/13 by Xiaoxia Wang, Chang Xu, Wang, Xiaoxia +1
Mathematics · #Advanced Mathematical Identities #Mathematical functions and polynomials #Analytic Number Theory Research
paper · pdf · doi:10.48550/arxiv.2202.06269
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).