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Certain Supercongruences Deriving from Hypergeometric Series Identities
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In this paper, we deduce some supercongruences for sums involving third power of certain rising factorials using hypergeometric series identities and evaluations. In particular, we first relate a truncated hypergeometric sum with the coefficients of the modular form of weight 3. Further, we confirm certain supercongruence conjectures related to truncated hypergeometric series.
Keywords
Supercongruences, Hypergeometric Series, p-Adic Gamma Functions.
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