A prime geodesic theorem for SL3(Z)

Anton Deitmar, Polyxeni Spilioti, Yasuro Gon

Research output: Contribution to journalArticlepeer-review


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
Issue number5
Publication statusPublished - Jan 1 2019

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics


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