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Combinatorics of hyperplane arrangements and Witten zeta function at the origin

Au, Kam Cheong et al.
arXiv (All) · Papers
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combinatoricsnumber-theory
We introduce a new method that brings the combinatorics of hyperplane arrangements into the study of representation zeta functions of compact Lie groups. For the Witten zeta function $ζ_Φ(s)$ associated with a root system $Φ$, our method yields elegant formulas for $ζ_Φ(0)$ and $ζ_Φ'(0)$ in terms of
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