Congruences for truncated hypergeometric series ${}_2F_1$
Number Theory
2017-08-31 v3 Combinatorics
Abstract
Rodriguez-Villegas conjectured four supercongruences associated to certain elliptic curves, which were first confirmed by Mortenson by using the Gross-Koblitz formula. In this paper, we aim to prove four supercongruences between two truncated hypergeometric series . This generalizes these four Rodriguez-Villegas supercongruences.
Cite
@article{arxiv.1605.06632,
title = {Congruences for truncated hypergeometric series ${}_2F_1$},
author = {Ji-Cai Liu},
journal= {arXiv preprint arXiv:1605.06632},
year = {2017}
}
Comments
11 pages, to appear in Bull. Aust. Math. Soc