Algorithms for Some Euler-Type Identities for Multiple Zeta Values

Multiple zeta values are the numbers defined by the convergent series ζ(s1,s2,…,sk)=∑n1>n2>⋯>nk>0(1/n1s1 n2s2⋯nksk), where s1, s2, …, sk are positive integers with s1>1. For k≤n, let E(2n,k) be the sum of all multiple zeta values with even arguments whose weight is 2n and whose depth...

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Bibliographic Details
Main Authors: Shifeng Ding, Weijun Liu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/802791