A p-adic analogue of a formula of Ramanujan
نویسندگان
چکیده
During his lifetime, Ramanujan provided many formulae relating binomial sums to special values of the Gamma function. Based on numerical computations, Van Hamme recently conjectured p-adic analogues to such formulae. Using a combination of ordinary and Gaussian hypergeometric series, we prove one of these conjectures. Mathematics Subject Classification (2000). Primary: 33C20; Secondary: 11S80.
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تاریخ انتشار 2007