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math.DG2005★ 1 cited
A Lefschetz formula for higher rank
Anton Deitmar
A general Lefschetz formula for the geodesic action on locally symmetric spaces is proven.
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.
math.DG2002
The prime geodesic theorem for higher rank spaces
Anton Deitmar
The 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 formu…