Document Type
Article
Version
Final Published Version
Publication Title
International Mathematics Research Notices
Publication Date
2021
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.
Citation
Dever, L. and D. Milićević. 2021. "Ambient Prime Geodesic Theorems on Hyperbolic 3-Manifolds." International Mathematics Research Notices: rnab048.
DOI
https://doi.org/10.1093/imrn/rnab048
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.