Hierarchy of the Selberg zeta functions
arXiv:math-ph/0501047 · doi:10.1007/s11005-005-6784-3
Abstract
We introduce a Selberg type zeta function of two variables which interpolates several higher Selberg zeta functions. The analytic continuation, the functional equation and the determinant expression of this function via the Laplacian on a Riemann surface are obtained.
14 pages