Two supercongruences involving truncated hypergeometric series
Number Theory
2023-07-20 v1 Combinatorics
Abstract
In this paper, we mainly establish two supercongruences involving truncated hypergeometric series by using some hypergeometric transformation formulas. The first supercongruence confirms a recent conjecture of the second author. The second supercongruence confirms a conjecture of Guo, Liu and Schlosser partially, and gives a parametric extension of a supercongruence of Long and Ramakrishna.
Keywords
Cite
@article{arxiv.2307.10000,
title = {Two supercongruences involving truncated hypergeometric series},
author = {Wei Xia and Chen Wang},
journal= {arXiv preprint arXiv:2307.10000},
year = {2023}
}
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17 pages