A prime geodesic theorem for SL3(Z)

Anton Deitmar, Polyxeni Spilioti, Yasuro Gon

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)1179-1201
JournalForum Mathematicum
Volume31
Issue number5
DOIs
Publication statusPublished - Jan 1 2019

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Geodesic
Theorem
Counting
Subgroup

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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

In: Forum Mathematicum, Vol. 31, No. 5, 01.01.2019, p. 1179-1201.

Research output: Contribution to journalArticle

Deitmar, Anton ; Spilioti, Polyxeni ; Gon, Yasuro. / A prime geodesic theorem for SL3(Z). In: Forum Mathematicum. 2019 ; Vol. 31, No. 5. pp. 1179-1201.
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