A prime geodesic theorem for SL3(Z)

Anton Deitmar; Polyxeni Spilioti; Yasuro Gon

doi:10.1515/forum-2019-0008

A prime geodesic theorem for SL₃(Z)

Anton Deitmar, Polyxeni Spilioti, Yasuro Gon

数学部門

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

抄録

We show a prime geodesic theorem for the group SL₃(Z) counting those geodesics whose lifts lie in the split Cartan subgroup. This is the first arithmetic prime geodesic theorem of higher rank for a non-cocompact group.

本文言語	英語
ページ（範囲）	1179-1201
ジャーナル	Forum Mathematicum
巻	31
号	5
DOI	https://doi.org/10.1515/forum-2019-0008
出版ステータス	出版済み - 1月 1 2019

All Science Journal Classification (ASJC) codes

数学 (全般)
応用数学

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