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arxiv: 1805.02467 · v2 · pith:YJJJP6SJnew · submitted 2018-05-07 · 🧮 math.NT

Some supercongruences of arbitrary length

classification 🧮 math.NT
keywords copieshypergeometricseriessomesupercongruencesarbitraryintegerlength
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We prove supercongruences modulo $p^2$ 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 $d\ge2$.

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