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Two supercongruences involving truncated hypergeometric series (2307.10000v1)

Published 19 Jul 2023 in math.NT and math.CO

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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