Two supercongruences involving truncated hypergeometric series

Wei Xia; Chen Wang

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arXiv · 2307.10000

Two supercongruences involving truncated hypergeometric series

Wei Xia·Chen Wang

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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.

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Wei Xia, Chen Wang. 2023-07-19. Two supercongruences involving truncated hypergeometric series. https://arxiv.org/abs/2307.10000

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