Meromorphic continuation of Selberg zeta functions with twists having non-expanding cusp monodromy
K Fedosova, A Pohl - Selecta Mathematica, 2020 - Springer
We initiate the study of Selberg zeta functions Z_ Γ, χ Z Γ, χ for geometrically finite Fuchsian
groups Γ Γ and finite-dimensional representations χ χ with non-expanding cusp monodromy …
groups Γ Γ and finite-dimensional representations χ χ with non-expanding cusp monodromy …
The twisted Selberg trace formula and the twisted Selberg zeta function for compact orbifolds
K Fedosova - Mathematische Zeitschrift, 2023 - Springer
We propose a version of the Selberg trace formula for compact hyperbolic orbifolds Γ \ H 2 n
+ 1 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} …
+ 1 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} …
The twisted Selberg trace formula and the Selberg zeta function for compact orbifolds
K Fedosova - arXiv preprint arXiv:1511.04208, 2015 - arxiv.org
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 …
$\Gamma\backslash\mathbb {H}^{n} $. We establish a version of the Selberg trace formula …
Eisenstein series twisted with non-expanding cusp monodromies
K Fedosova, A Pohl - The Ramanujan Journal, 2020 - Springer
Let Γ Γ be a geometrically finite Fuchsian group and suppose that χ: Γ →\, GL\,(V) χ: Γ→ GL
(V) is a finite-dimensional representation with non-expanding cusp monodromy. We show …
(V) is a finite-dimensional representation with non-expanding cusp monodromy. We show …
Selberg zeta function and relative analytic torsion for hyperbolic odd-dimensional orbifolds
K Fedosova - 2016 - bonndoc.ulb.uni-bonn.de
In this thesis we study the Selberg zeta functions and the analytic torsion of hyperbolic odd-
dimensional orbifolds $ Gamma backslash mathbb {H}^{2n+ 1} $. In the first part of the thesis …
dimensional orbifolds $ Gamma backslash mathbb {H}^{2n+ 1} $. In the first part of the thesis …
Twisted Dirac operators and dynamical zeta functions
P Spilioti - arXiv preprint arXiv:1507.05932, 2015 - arxiv.org
In this paper, we consider the dynamical zeta functions of Ruelle and Selberg associated
with the geodesic flow of a compact hyperbolic odd dimensional manifold $ X $. These …
with the geodesic flow of a compact hyperbolic odd dimensional manifold $ X $. These …