Li Guo, Peng Lei, Jianqiang Zhao
Published 2014-01-24, updated 2014-01-28Version 2
Euler's sum formula and its multi-variable and weighted generalizations form a large class of the identities of multiple zeta values. In this paper we prove a family of identities involving Bernoulli numbers and apply them to obtain infinitely many weighted sum formulas for double zeta values and triple zeta values where the weight coefficients are given by symmetric polynomials. We give a general conjecture in arbitrary depth at the end of the paper.
Comments: The conjecture at the end is reformulated
On Multiple Zeta Values of Even Arguments
A cyclic analogue of multiple zeta values
Iterated integrals on $\mathbb{P}^{1}\setminus\{0,1,\infty,z\}$ and a class of relations among multiple zeta values
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