McCarthy, DermotDermotMcCarthyOsburn, RobertRobertOsburn2016-09-152016-09-152008 Birkh2008-12Archiv der Mathematikhttp://hdl.handle.net/10197/7945During 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.enThe final publication is available at Springer via http://dx.doi.org/10.1007/s00013-008-2828-0.Gaussian hypergeometric seriesSupercongruencesJournal Article91649250410.1007/s00013-008-2828-02016-08-10https://creativecommons.org/licenses/by-nc-nd/3.0/ie/