Twisted Ruelle zeta function at zero for compact hyperbolic surfaces

This https://t.co/m3Zk8OILvr has been replaced. Links: https://t.co/16ztN6dJnW https://t.co/VJxJxWCpHf https://t.co/IK0yShAwWe https://t.co/uSiO2TrgDv

admit a meromorphic continuation to $\C$. Moreover, we study the behaviour of the twisted Ruelle zeta function at $s=0$ and prove that at this point, it has a zero of order $\dim(\chi)(2g-2)$. [2/2 of https://t.co/bGZx52s5hU]

Let $X$ be a compact, hyperbolic surface of genus $g\geq 2$. In this paper, we prove that the twisted Selberg and Ruelle zeta functions, associated with an arbitrary, finite-dimensional, complex representation $\chi$ of $\pi_1(X)$ [1/2 of https://t.co/bGZx

Jan Frahm, Polyxeni Spilioti: Twisted Ruelle zeta function at zero for compact hyperbolic surfaces https://t.co/m3Zk8OILvr https://t.co/IxGqgnYEUi