28 citations · 147 across the 67 of their papers we have counts for
5 papers · 1 filter
A panorama on zeta functions
Anton Deitmar
In this essay I will give a strictly subjective selection of different types of zeta functions. Instead of providing a complete list, I will rather try to give the central concepts…
Selberg zeta functions for spaces of higher rank
Anton Deitmar
The theory of Selberg zeta functions is generalized to higher rank spaces. Applications towards analytic torsion numbers are given.
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…
A dynamical Lefschetz trace formula for algebraic Anosov diffeomorphisms
Anton Deitmar, Christopher Deninger
For algebraic Anosov diffeomorphisms we first express the reduced leafwise cohomology with respect to the unstable foliation in terms of finite dimensional Lie algebra cohomology.…
Euler-Poincar'e functions
Anton Deitmar
A new construction of Euler-Poincaré functions for real reductive groups is given. This construction also works for non-connected groups and representations that do not lift.