English

Hypergeometric evaluation identities and supercongruences

Number Theory 2010-12-17 v2

Abstract

In this article, we provide an application of hypergeometric evaluation identities, including a strange valuation of Gosper, to prove several supercongruences related to special valuations of truncated hypergeometric series. In particular, we prove a conjecture of van Hamme.

Keywords

Cite

@article{arxiv.0912.0197,
  title  = {Hypergeometric evaluation identities and supercongruences},
  author = {Ling Long},
  journal= {arXiv preprint arXiv:0912.0197},
  year   = {2010}
}
R2 v1 2026-06-21T14:18:16.233Z