English

Supercongruences between truncated ${}_3F_2$ hypergeometric series

Number Theory 2017-12-06 v2 Combinatorics

Abstract

We establish four supercongruences between truncated 3F2{}_3F_2 hypergeometric series involving pp-adic Gamma functions, which extend some of the Rodriguez-Villegas supercongruences.

Keywords

Cite

@article{arxiv.1702.07232,
  title  = {Supercongruences between truncated ${}_3F_2$ hypergeometric series},
  author = {Ji-Cai Liu},
  journal= {arXiv preprint arXiv:1702.07232},
  year   = {2017}
}

Comments

The results of this paper are added to arXiv:1610.03799, which is accepted by Journal of Difference Equations and Applications

R2 v1 2026-06-22T18:26:29.650Z