A theta function for hyperbolic surfaces with cusps

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. 

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Cite this paper

@inproceedings{Bunke2008ATF, title={A theta function for hyperbolic surfaces with cusps}, author={Ulrich Bunke and Martin Olbrich}, year={2008} }