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A prime geodesic theorem for SL3(ℤ)

  • Anton Deitmar EMAIL logo , Polyxeni Spilioti and Yasuro Gon
From the journal Forum Mathematicum

Abstract

We show a prime geodesic theorem for the group SL3() 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.


Communicated by Jan Bruinier


Award Identifier / Grant number: 248213549

Funding statement: The first author was supported by DFG grant 248213549.

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Received: 2019-01-07
Revised: 2019-04-11
Published Online: 2019-06-13
Published in Print: 2019-09-01

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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