Rocky Mountain Journal of Mathematics

New families of weighted sum formulas for multiple zeta values

Haiping Yuan and Jianqiang Zhao

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In this paper we shall use the generating functions and the double shuffle relations satisfied by the multiple zeta values to derive some new families of identities of these values.

Article information

Rocky Mountain J. Math., Volume 45, Number 6 (2015), 2065-2096.

First available in Project Euclid: 14 March 2016

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Zentralblatt MATH identifier

Primary: 05A15: Exact enumeration problems, generating functions [See also 33Cxx, 33Dxx] 11M32: Multiple Dirichlet series and zeta functions and multizeta values

Multiple zeta values generating functions double shuffle relations


Yuan, Haiping; Zhao, Jianqiang. New families of weighted sum formulas for multiple zeta values. Rocky Mountain J. Math. 45 (2015), no. 6, 2065--2096. doi:10.1216/RMJ-2015-45-6-2065.

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