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arXiv · 1611.10188

A $p$-adic supercongruence for truncated hypergeometric series ${}_7F_6$

Ji-Cai Liu
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Abstract

Using an identity due to Gessel and Stanton and some properties of the $p$-adic Gamma function, we establish a $p$-adic supercongruence for truncated hypergeometric series ${}_7F_6$. From it we deduce some related supercongruences, which extend certain recent results and confirm a supercongruence conjecture.

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Ji-Cai Liu. 2017-08-30. A $p$-adic supercongruence for truncated hypergeometric series ${}_7F_6$. https://doi.org/10.1007/s00025-017-0744-y

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