Proof of a basic hypergeometric supercongruence modulo the fifth power of a cyclotomic polynomial
Number Theory
2020-08-04 v2
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.
Keywords
Cite
@article{arxiv.1812.11659,
title = {Proof of a basic hypergeometric supercongruence modulo the fifth power of a cyclotomic polynomial},
author = {Victor J. W. Guo and Michael J. Schlosser},
journal= {arXiv preprint arXiv:1812.11659},
year = {2020}
}
Comments
9 pages, refereces added; to appear in Journal of Difference Equations and Applications