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A prime geodesic theorem for higher rank II: singular geodesics
Anton Deitmar
A prime geodesic theorem for singular geodesics in a locally symmetric space is proved. As an application, an asymptotic formula for units in number fields is given.
math.DG2004
A conjectural Lefschetz formula for locally symmetric spaces
Anton Deitmar
We formulate a conjectural Lefschetz formula for locally symmetric spaces of finite volume. The formula can be verified in the compact case and for Riemann surfaces.