Theta and zeta functions for locally symmetric spaces of rank one

We study the Selberg zeta and the theta function associated to bundles over even-dimensional locally symmetric spaces of rank one.Comment: 71 pages, Latex, reportSFB288-11

A theta function for hyperbolic surfaces with cusps

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.Comment: 16 pages, Latex, reportSFB288-11