Some supercongruences of arbitrary length

Indagationes Mathematicae（2022）

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摘要

We prove supercongruences modulo p2 for values of truncated hypergeometric series at some special points. The parameters of the hypergeometric series are d copies of 1/2 and d copies of 1 for any integer d≥2. In addition we describe their relation to hypergeometric motives.

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关键词

Super congruence,Hypergeometric series,Zeta function,Unit root

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