Distribution of prime geodesic traces
Number Theory
2025-07-21 v1 Representation Theory
Abstract
This note complements a recent paper of Chatzakos, Harcos and Kaneko \cite{CHK}. We use a Dirichlet style Prime Geodesic Theorem to improve the error term estimate in loc. cit. at the cost of lowering the resolution. The proof relies on the Selberg trace formula.
Keywords
Cite
@article{arxiv.2507.13679,
title = {Distribution of prime geodesic traces},
author = {Anton Deitmar},
journal= {arXiv preprint arXiv:2507.13679},
year = {2025}
}