Explicit evaluations of extended Euler sums

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Title:	Explicit evaluations of extended Euler sums
Authors:	Kwang-Wu Chen Minking Eie 陳光武
Contributors:	臺北市立教育大學數學資訊教育學系
Keywords:	Zeta function Bernoulli polynomial Euler sum
Date:	2006
Issue Date:	2009-08-03 12:49:44 (UTC+8)
Abstract:	In this paper, we consider two types of extended Euler sums: where x is the largest integer x. In particular, are classical Euler sums. We develop a systematic method to evaluate these extended Euler sums as well as their corresponding alternating sums when the weight p+q is odd.
Relation:	Journal of Number Theory, V117(1), P.31-52
Appears in Collections:	[Department of Mathematic and Computer Science Education] Periodical Articles

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