On the (K.2) supercongruence of Van Hamme
|Title:||On the (K.2) supercongruence of Van Hamme||Authors:||Osburn, Robert
|Permanent link:||http://hdl.handle.net/10197/7873||Date:||1-Jan-2016||Abstract:||We prove the last remaining case of the original 13 Ramanujan-type supercongruence conjectures due to Van Hamme from 1997. The proof utilizes classical congruences and a WZ pair due to Guillera. Additionally, we mention some future directions concerning this type of supercongruence.||Type of material:||Journal Article||Publisher:||Elsevier||Copyright (published version):||2015 Elsevier||Keywords:||Supercongruence; Ramanujan; Wilf–Zeilberger pair||DOI:||10.1016/j.jmaa.2015.08.009||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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