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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