Selberg and Ruelle zeta functions for non-unitary twists
P Spilioti - Annals of Global Analysis and Geometry, 2018 - Springer
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 …
the geodesic flow of a compact hyperbolic odd-dimensional manifold. These are functions of …
Complex valued analytic torsion and dynamical zeta function on locally symmetric spaces
S Shen - International Mathematics Research Notices, 2023 - academic.oup.com
We show that the Ruelle dynamical zeta function on a closed odd dimensional locally
symmetric space twisted by an arbitrary flat vector bundle has a meromorphic extension to …
symmetric space twisted by an arbitrary flat vector bundle has a meromorphic extension to …
Ruelle zeta functions of hyperbolic manifolds and Reidemeister torsion
W Müller - The Journal of Geometric Analysis, 2021 - Springer
This paper is concerned with the behavior of twisted Ruelle zeta functions of compact
hyperbolic manifolds at the origin. Fried proved that for an orthogonal acyclic representation …
hyperbolic manifolds at the origin. Fried proved that for an orthogonal acyclic representation …
On Fried's conjecture for compact hyperbolic manifolds
W Mueller - arXiv preprint arXiv:2005.01450, 2020 - arxiv.org
Fried's conjecture is concerned with the behavior of dynamical zeta functions at the origin.
For compact hyperbolic manifolds, Fried proved that for an orthogonal acyclic representation …
For compact hyperbolic manifolds, Fried proved that for an orthogonal acyclic representation …