An extension of a supercongruence of Long and Ramakrishna
Number Theory
2020-12-29 v1 Combinatorics
Abstract
We prove two supercongruences for specific truncated hypergeometric series. These include an uniparametric extension of a supercongruence that was recently established by Long and Ramakrishna. Our proofs involve special instances of various hypergeometric identities including Whipple's transformation and the Karlsson--Minton summation.
Keywords
Cite
@article{arxiv.2012.13672,
title = {An extension of a supercongruence of Long and Ramakrishna},
author = {Victor J. W. Guo and Ji-Cai Liu and Michael J. Schlosser},
journal= {arXiv preprint arXiv:2012.13672},
year = {2020}
}
Comments
10 pages