A short WZ-proof of Eulers fundamental sum identity and more

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• 作者：Moa Apagodu^a ; ^{mapagodu@vcu.edu} ;
• 关键词：Euler ; //www.sciencedirect.com/scidirimg/entities/2bc.gif"" alt=""modifier letter apostrophe"" title=""modifier letter apostrophe"" border=""0"">s sum ; Gosper ; //www.sciencedirect.com/scidirimg/entities/2bc.gif"" alt=""modifier letter apo
• 刊名：Journal of Number Theory
• 出版年：2011
• 出版时间：June 2011
• 年：2011
• 卷：131
• 期：6
• 页码：1112-1116
• 全文大小：118 K

文摘

We prove two identities that imply WZ-proofs of the fundamental Eulers sum identity for ζ(3) and Gospers sum identity for ζ(5). In addition, we present a new similar representation for ζ(7).