4 papers
A prime Geodesic Theorem for SL3(Z)
Anton Deitmar, Yasuro Gon, Polyxeni Spilioti
We show a Prime Geodesic Theorem for the group SL3(Z), counting those geodesics whose lifts lie in the split Cartan subgroup. This is the first arithmetic Prime Geodesic Theorem of…
Determinants of Laplacians on Hilbert modular surfaces
Yasuro Gon
We study regularized determinants of Laplacians acting on the space of Hilbert-Maass forms for the Hilbert modular group of a real quadratic field. We show that these determinants…
Dirichlet series constructed from periods of automorphic forms
Yasuro Gon
We consider certain Dirichlet series of Selberg type, constructed from periods of automorphic forms. We study analytic properties of these Dirichlet series and show that they have…
Differences of the Selberg trace formula and Selberg type zeta functions for Hilbert modular surfaces
Yasuro Gon
We present the first example of the Selberg type zeta function for noncompact higher rank locally symmetric spaces. We study certain Selberg type zeta functions and Ruelle type zet…