Geodesic
Depth reduction of a class of Witten zeta functions
The electronic journal of combinatorics, Tome 16 (2009) no. 1
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We show that if $a,b,c,d,f$ are positive integers such that $a+b+c+d+f$ is even, then the Witten zeta value $\zeta_{\mathfrak{sl}(4)} (a,b,c,d,0,f)$ is expressible in terms of Witten zeta functions with fewer arguments.
DOI : 10.37236/265
Classification : 11M32, 11M41 
@article{10_37236_265,
     author = {Xia Zhou and David M. Bradley and Tianxin Cai},
     title = {Depth reduction of a class of {Witten} zeta functions},
     journal = {The electronic journal of combinatorics},
     year = {2009},
     volume = {16},
     number = {1},
     doi = {10.37236/265},
     zbl = {1235.11083},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/265/}
}
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Xia Zhou; David M. Bradley; Tianxin Cai. Depth reduction of a class of Witten zeta functions. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/265

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