A p-adic analogue of a formula of Ramanujan
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- McCarthy, D. & Osburn, R. Arch. Math. (2008) 91: 492. doi:10.1007/s00013-008-2828-0
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.