A theta function for hyperbolic surfaces with cusps
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
For a Riemann surface with cusps we define a theta function using the eigenvalues of the Laplacian and the singularities of the scattering determinant. We provide its meromorphic continuation and discuss its singularities.
Cite
@article{arxiv.dg-ga/9407014,
title = {A theta function for hyperbolic surfaces with cusps},
author = {Ulrich Bunke and Martin Olbrich},
journal= {arXiv preprint arXiv:dg-ga/9407014},
year = {2008}
}
Comments
16 pages, Latex, reportSFB288-112