Selberg and Ruelle zeta functions for non-unitary twists

@article{Spilioti2018SelbergAR,
  title={Selberg and Ruelle zeta functions for non-unitary twists},
  author={Polyxeni Spilioti},
  journal={Annals of Global Analysis and Geometry},
  year={2018},
  volume={53},
  pages={151-203}
}
  • Polyxeni Spilioti
  • Published 2018
  • Mathematics
  • Annals of Global Analysis and Geometry
  • In this paper we study the dynamical zeta functions of Ruelle and Selberg associated with the geodesic flow of a compact hyperbolic odd-dimensional manifold. These are functions of a complex variable s in some right half-plane of $$\mathbb {C}$$C. Using the Selberg trace formula for arbitrary finite dimensional representations of the fundamental group of the manifold, we establish the meromorphic continuation of the dynamical zeta functions to the whole complex plane. We explicitly describe the… CONTINUE READING

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