Abstract.
A prime geodesic theorem for regular geodesics in a higher rank locally symmetric space is proved. An application to class numbers is given. The proof relies on a Lefschetz formula for higher rank torus actions.
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Deitmar, A. A Prime geodesic theorem for higher rank spaces. GAFA, Geom. funct. anal. 14, 1238–1266 (2004). https://doi.org/10.1007/s00039-004-0490-7
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DOI: https://doi.org/10.1007/s00039-004-0490-7