Geodesic
A combinatorial identity of multiple zeta values with even arguments
The electronic journal of combinatorics, Tome 21 (2014) no. 2
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Let $\zeta(s_1,s_2,\cdots,s_k;\alpha)$ be the multiple Hurwitz zeta function. Given two positive integers $k$ and $n$ with $k\leq n$, let $E(2n, k;\alpha)$ be the sum of all multiple zeta values with even arguments whose weight is $2n$ and whose depth is $k$. In this note we present some generating series for the numbers $E(2n,k;\alpha)$.
DOI : 10.37236/3923
Classification : 05A19, 11M06
Mots-clés : multiple zeta values, recursion algorithm, generating series 
@article{10_37236_3923,
     author = {Shifeng Ding and Lihua Feng and Weijun Liu},
     title = {A combinatorial identity of multiple zeta values with even arguments},
     journal = {The electronic journal of combinatorics},
     year = {2014},
     volume = {21},
     number = {2},
     doi = {10.37236/3923},
     zbl = {1300.05040},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/3923/}
}
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Shifeng Ding; Lihua Feng; Weijun Liu. A combinatorial identity of multiple zeta values with even arguments. The electronic journal of combinatorics, Tome 21 (2014) no. 2. doi: 10.37236/3923

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