A prime geodesic theorem for SL(4)
Differential Geometry
2007-05-23 v1
Abstract
A prime geodesic theorem is proven for singular geodesics in quotients of SL(4). This is a case where regularity assumptions of previous papers fail. As a consequence, the analysis becomes much more involved. For applications in number theory (class number asymptotics) it is, however, necessary to consider this case, too.
Cite
@article{arxiv.math/0605048,
title = {A prime geodesic theorem for SL(4)},
author = {Anton Deitmar and Mark Pavey},
journal= {arXiv preprint arXiv:math/0605048},
year = {2007}
}
Comments
LATeX, 47 pages