The twisted Selberg trace formula and the Selberg zeta function for compact orbifolds

Ksenia Fedosova

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arXiv · 1511.04208

The twisted Selberg trace formula and the Selberg zeta function for compact orbifolds

Ksenia Fedosova

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Abstract

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

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BibTeX RIS

Ksenia Fedosova. 2015-11-19. The twisted Selberg trace formula and the Selberg zeta function for compact orbifolds. https://arxiv.org/abs/1511.04208

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