$q$-Supercongruences on triple and quadruple sums
Number Theory
2022-03-22 v2
Abstract
Inspired by the recent work of El Bachraoui, we present some new -supercongruences on triple and quadruple sums of basic hypergeometric series. In particular, we give a -supercongruence modulo the fifth power of a cyclotomic polynomial, which is a -analogue of the quadruple sum of Van Hamme's supercongruence (G.2).
Keywords
Cite
@article{arxiv.2202.06269,
title = {$q$-Supercongruences on triple and quadruple sums},
author = {Xiaoxia Wang and Chang Xu},
journal= {arXiv preprint arXiv:2202.06269},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2112.08585