Open Access
September 2014 Restricted sum formula of multiple zeta values
Haiping Yuan, Jianqiang Zhao
Funct. Approx. Comment. Math. 51(1): 111-119 (September 2014). DOI: 10.7169/facm/2014.51.1.5

Abstract

The famous sum formula of multiple zeta values (MZV) says that the sum of all MZVs of fixed weight w and depth d is always equal to (w). Hoffman proved a more complicated formula when all the arguments of the MZVs are even numbers. In this paper, we further restrict the arguments to multiples of $4$ and derive a similar sum formula.

Citation

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Haiping Yuan. Jianqiang Zhao. "Restricted sum formula of multiple zeta values." Funct. Approx. Comment. Math. 51 (1) 111 - 119, September 2014. https://doi.org/10.7169/facm/2014.51.1.5

Information

Published: September 2014
First available in Project Euclid: 24 September 2014

zbMATH: 1357.11081
MathSciNet: MR3263071
Digital Object Identifier: 10.7169/facm/2014.51.1.5

Subjects:
Primary: 11M32
Secondary: 11B68

Keywords: generating functions , multiple zeta values

Rights: Copyright © 2014 Adam Mickiewicz University

Vol.51 • No. 1 • September 2014
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