A short WZ-proof of Euler's fundamental sum identity and more

被引:0
|
作者
Apagodu, Moa [1 ]
机构
[1] Virginia Commonwealth Univ, Dept Math, Richmond, VA 23284 USA
关键词
Euler's sum; Gosper's sum; WZ-method; Zeta values;
D O I
10.1016/j.jnt.2010.11.012
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove two identities that imply WZ-proofs of the fundamental Euler's sum identity for zeta (3) and Gosper's sum identity for zeta (5). In addition, we present a new similar representation for zeta (7). (C) 2011 Elsevier Inc. All rights reserved.
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收藏
页码:1112 / 1116
页数:5
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