A $p$-adic supercongruence for truncated hypergeometric series ${}_7F_6$
Number Theory
2017-12-06 v2 Combinatorics
Abstract
Using an identity due to Gessel and Stanton and some properties of the -adic Gamma function, we establish a -adic supercongruence for truncated hypergeometric series . From it we deduce some related supercongruences, which extend certain recent results and confirm a supercongruence conjecture.
Keywords
Cite
@article{arxiv.1611.10188,
title = {A $p$-adic supercongruence for truncated hypergeometric series ${}_7F_6$},
author = {Ji-Cai Liu},
journal= {arXiv preprint arXiv:1611.10188},
year = {2017}
}
Comments
Results Math., online, 9 pages