Ruelle and Selberg zeta functions for non-unitary twists

Polyxeni Spilioti

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arXiv · 1506.04672

Ruelle and Selberg zeta functions for non-unitary twists

Polyxeni Spilioti

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Abstract

In this paper, we study the Selberg and Ruelle zeta functions on compact hyperbolic odd dimensional manifolds. These zeta functions are defined on one complex variable $s$ in some right half-plane of $\mathbb{C}$. We use the Selberg trace formula for arbitrary not neccesarily unitary representations of the fundamental group to establish the meromorphic continuation of these zeta functions to the whole complex plane.

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BibTeX RIS

Polyxeni Spilioti. 2015-06-15. Ruelle and Selberg zeta functions for non-unitary twists. https://arxiv.org/abs/1506.04672

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