English

Supercongruences arising from hypergeometric series identities

Number Theory 2018-12-24 v1 Combinatorics

Abstract

By using some hypergeometric series identities, we prove two supercongruences on truncated hypergeometric series, one of which is related to a modular Calabi--Yau threefold, and the other is regarded as pp-adic analogue of an identity due to Ramanujan.

Keywords

Cite

@article{arxiv.1812.09101,
  title  = {Supercongruences arising from hypergeometric series identities},
  author = {Ji-Cai Liu},
  journal= {arXiv preprint arXiv:1812.09101},
  year   = {2018}
}

Comments

9 pages

R2 v1 2026-06-23T06:53:31.822Z