English

Supercongruences arising from a ${}_7F_6$ hypergeometric transformation formula

Number Theory 2023-06-06 v1 Combinatorics

Abstract

Using a 7F6{}_7F_6 hypergeometric transformation formula, we prove two supercongruences. In particular, one of these supercongruences confirms a recent conjecture of Guo, Liu and Schlosser, and gives an extension of a supercongruence of Long and Ramakrishna.

Keywords

Cite

@article{arxiv.2306.02635,
  title  = {Supercongruences arising from a ${}_7F_6$ hypergeometric transformation formula},
  author = {Chen Wang},
  journal= {arXiv preprint arXiv:2306.02635},
  year   = {2023}
}

Comments

14 pages

R2 v1 2026-06-28T10:56:12.533Z