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

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	1179-1201
Journal	Forum Mathematicum
Volume	31
Issue number	5
DOIs	https://doi.org/10.1515/forum-2019-0008
Publication status	Published - Jan 1 2019

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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A prime geodesic theorem for SL₃(Z)

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