Analogues of the Artin factorization formula for the automorphic scattering matrix and Selberg zeta-function associated to a Kleinian group
Number Theory
2007-09-10 v2 Spectral Theory
Abstract
For Kleinian groups acting on hyperbolic three-space, we prove factorization formulas for both the Selberg zeta-function and the automorphic scattering matrix. We extend results of Venkov and Zograf from Fuchsian groups, to Kleinian groups, and we give a proof that is simple and extendable to more general groups.
Keywords
Cite
@article{arxiv.math/0702030,
title = {Analogues of the Artin factorization formula for the automorphic scattering matrix and Selberg zeta-function associated to a Kleinian group},
author = {Joshua S. Friedman},
journal= {arXiv preprint arXiv:math/0702030},
year = {2007}
}
Comments
To Appear in the Proceedings of the American Math Society; Second edition: corrected some mistakes