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 › 記事

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.

元の言語	英語
ジャーナル	Forum Mathematicum
DOI	https://doi.org/10.1515/forum-2019-0008
出版物ステータス	出版済み - 1 1 2019

Fingerprint

Geodesic

Theorem

Counting

Subgroup

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

これを引用

Deitmar, A., Spilioti, P., & Gon, Y. (2019). A prime geodesic theorem for SL₃(Z). Forum Mathematicum. https://doi.org/10.1515/forum-2019-0008

A prime geodesic theorem for SL₃(Z). / Deitmar, Anton; Spilioti, Polyxeni; Gon, Yasuro.

：: Forum Mathematicum, 01.01.2019.

研究成果: ジャーナルへの寄稿 › 記事

Deitmar, A, Spilioti, P & Gon, Y 2019, 'A prime geodesic theorem for SL₃(Z)', Forum Mathematicum. https://doi.org/10.1515/forum-2019-0008

Deitmar A, Spilioti P, Gon Y. A prime geodesic theorem for SL₃(Z). Forum Mathematicum. 2019 1 1. https://doi.org/10.1515/forum-2019-0008

Deitmar, Anton ; Spilioti, Polyxeni ; Gon, Yasuro. / A prime geodesic theorem for SL₃(Z). ：: Forum Mathematicum. 2019.

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文献にアクセス

10.1515/forum-2019-0008