2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152011For 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, reportSFB288-112Differential GeometryA theta function for hyperbolic surfaces with cuspstext