A theta function for hyperbolic surfaces with cusps

Details A theta function for hyperbolic surfaces with cusps A theta function for hyperbolic surfaces with cusps

1994-07-22

arxiv.org/abs/dg-ga/9407014v1

Mathematics

Differential Geometry

16 pages, Latex, reportSFB288-112

Scientific paper

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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