A prime Geodesic Theorem for SL3(Z)
Number Theory
2017-11-16 v1
Abstract
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 higher rank for a non-cocompact group.
Keywords
Cite
@article{arxiv.1711.05361,
title = {A prime Geodesic Theorem for SL3(Z)},
author = {Anton Deitmar and Yasuro Gon and Polyxeni Spilioti},
journal= {arXiv preprint arXiv:1711.05361},
year = {2017}
}