Superzeta functions, regularized products, and the Selberg zeta function on hyperbolic manifolds with cusps

Joshua S. Friedman, Jay Jorgenson, Lejla Smajlovic

Let $\Lambda =\{{\lambda }_k\}$ denote a sequence of complex numbers and assume that that the counting function $#\{λ_{k} \in Λ: | λ_{k}| < T\} =O(T^{n})$ for some integer $n$. From Hadamard's…