Ambient prime geodesic theorems on hyperbolic 3-manifolds
Number Theory
2022-06-23 v3 Differential Geometry
Abstract
We prove prime geodesic theorems counting primitive closed geodesics on a compact hyperbolic 3-manifold with length and holonomy in prescribed intervals, which are allowed to shrink. Our results imply effective equidistribution of holonomy and have both the rate of shrinking and the strength of the error term fully symmetric in length and holonomy.
Cite
@article{arxiv.2004.11774,
title = {Ambient prime geodesic theorems on hyperbolic 3-manifolds},
author = {Lindsay Dever and Djordje Milićević},
journal= {arXiv preprint arXiv:2004.11774},
year = {2022}
}
Comments
39 pages, final version, IMRN