Distribution of prime geodesic traces

Fuente: arXiv
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Main Author: Deitmar, Anton
Format: Preprint
Published: 2025
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author Deitmar, Anton
author_facet Deitmar, Anton
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_13679
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Distribution of prime geodesic traces
Deitmar, Anton
Number Theory
Representation Theory
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.
title Distribution of prime geodesic traces
topic Number Theory
Representation Theory
url https://arxiv.org/abs/2507.13679