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 …
Analytic torsion, dynamical zeta function, and the Fried conjecture for admissible twists
S Shen - Communications in Mathematical Physics, 2021 - Springer
We show an equality between the analytic torsion and the absolute value at zero of the
Ruelle dynamical zeta function on a closed odd dimensional locally symmetric space twisted …
Ruelle dynamical zeta function on a closed odd dimensional locally symmetric space twisted …
[HTML][HTML] Twisted Ruelle zeta function at zero for compact hyperbolic surfaces
J Frahm, P Spilioti - Journal of Number Theory, 2023 - Elsevier
Let X be an orientable compact connected hyperbolic surface of genus g. In this paper, we
prove that the twisted Selberg and Ruelle zeta functions, associated with an arbitrary finite …
prove that the twisted Selberg and Ruelle zeta functions, associated with an arbitrary finite …
Fourier expansions of vector-valued automorphic functions with non-unitary twists
We provide Fourier expansions of vector-valued eigenfunctions of the hyperbolic Laplacian
that are twist-periodic in a horocycle direction. The twist may be given by any endomorphism …
that are twist-periodic in a horocycle direction. The twist may be given by any endomorphism …