Two supercongruences involving truncated hypergeometric series (Q6629701)

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scientific article; zbMATH DE number 7935931
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Two supercongruences involving truncated hypergeometric series
scientific article; zbMATH DE number 7935931

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    Two supercongruences involving truncated hypergeometric series (English)
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    30 October 2024
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    The purpose of this article is to establish supercongruences (in the framework of \(p\)-adic analysis) concerning truncated hypergeometric series by proving several conjectures for \(p\)-adic Gamma functions. The proofs, which use several lemmas, are based on hypergeometric and Pochhammer symbol formulas.
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    hypergeometric series
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    hypergeometric transformation formula
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    supercongruences
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    \(p\)-adic gamma functions
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