Proof of a basic hypergeometric supercongruence modulo the fifth power of a cyclotomic polynomial
arXiv:1812.11659 · doi:10.1080/10236198.2019.1622690
Abstract
By means of the -Zeilberger algorithm, we prove a basic hypergeometric supercongruence modulo the fifth power of the cyclotomic polynomial . This result appears to be quite unique, as in the existing literature so far no basic hypergeometric supercongruences modulo a power greater than the fourth of a cyclotomic polynomial have been proved. We also establish a couple of related results, including a parametric supercongruence.
9 pages, refereces added; to appear in Journal of Difference Equations and Applications