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.

16 pages, Latex, reportSFB288-112

Cited by in corpus (1)

• Theta and zeta functions for odd-dimensional locally symmetric spaces of rank one