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A theta function for hyperbolic surfaces with cusps

Ulrich Bunke, Martin Olbrich

dg-gaarXiv:dg-ga/9407014

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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