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The twisted Selberg trace formula and the Selberg zeta function for compact orbifolds (1511.04208v2)

Published 13 Nov 2015 in math.SP

Abstract: We study elements of the spectral theory of compact hyperbolic orbifolds $\Gamma \backslash \mathbb{H}{n}$. We establish a version of the Selberg trace formula for non-unitary representations of $\Gamma$ and prove that the associated Selberg zeta function admits a meromorphic continuation to $\mathbb{C}$.

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