Selberg zeta functions for cofinite lattices acting on line bundles over complex hyperbolic spaces

摘要

For a line bundle over a finite volume quotient of the complex hyperbolic space, we write down an explicit trace formula for an admissible function lying in the Harish-Chandra p-Schwartz space l~p(G), 0 < p < 1, we apply it to a suitable admissible function in order to discuss the analytic continuation of the associated Selberg zeta function.