Ambient Prime Geodesic Theorems on Hyperbolic 3-Manifolds

Authors

Lindsey A. Dever, Bryn Mawr College
Djordje Milićević, Bryn Mawr CollegeFollow

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.