2 papers
math.NT2017
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…
math.NT2017
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…