A p-adic analogue of a formula of Ramanujan
|Title:||A p-adic analogue of a formula of Ramanujan||Authors:||McCarthy, Dermot
|Permanent link:||http://hdl.handle.net/10197/7945||Date:||Dec-2008||Online since:||2016-09-15T16:09:30Z||Abstract:||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.||Type of material:||Journal Article||Journal:||Archiv der Mathematik||Volume:||91||Issue:||6||Start page:||492||End page:||504||Copyright (published version):||2008 Birkhäuser Verlag Basel/Switzerland||Keywords:||Gaussian hypergeometric series; Supercongruences||DOI:||10.1007/s00013-008-2828-0||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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