The prime geodesic theorem in square mean

Fuente: arXiv
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Autores principales: Balog, Antal, Biró, András, Harcos, Gergely, Maga, Péter
Formato: Preprint
Publicado: 2018
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author Balog, Antal
Biró, András
Harcos, Gergely
Maga, Péter
author_facet Balog, Antal
Biró, András
Harcos, Gergely
Maga, Péter
contents We strengthen the recent result of Cherubini and Guerreiro on the square mean of the error term in the prime geodesic theorem for $\mathrm{PSL}_2(\mathbb{Z})$. We also develop a short interval version of this result.
format Preprint
id arxiv_https___arxiv_org_abs_1805_07461
institution arXiv
publishDate 2018
record_format arxiv
spellingShingle The prime geodesic theorem in square mean
Balog, Antal
Biró, András
Harcos, Gergely
Maga, Péter
Number Theory
Primary 11F72, Secondary 11M36
We strengthen the recent result of Cherubini and Guerreiro on the square mean of the error term in the prime geodesic theorem for $\mathrm{PSL}_2(\mathbb{Z})$. We also develop a short interval version of this result.
title The prime geodesic theorem in square mean
topic Number Theory
Primary 11F72, Secondary 11M36
url https://arxiv.org/abs/1805.07461