Zeta functions in higher Teichmuller theory
Dynamical Systems
2024-01-09 v2
Abstract
In this note we introduce zeta functions and L-functions for discrete and faithful representations of surface groups in PSL(d, R), for d >= 3. These are natural generalizations of the wellknown classical Selberg zeta function and L-function for Fuchsian groups, corresponding to the case d=2.We show that these complex functions have meromorphic extensions to the entire complex plane C.
Cite
@article{arxiv.2203.15741,
title = {Zeta functions in higher Teichmuller theory},
author = {Mark Pollicott and Richard Sharp},
journal= {arXiv preprint arXiv:2203.15741},
year = {2024}
}
Comments
This version corresponds to the final accepted version by Mathematische Zeitschrift