28 citations · 147 across the 67 of their papers we have counts for
7 papers · 1 filter
Geometric zeta-functions on p-adic groups
Anton Deitmar
Geometric zeta functions of Ihara and Hashimoto are generalized to higher rank. The -adic version of the Patterson conjecture is proven.
Torus actions on compact quotients
Anton Deitmar
We consider the action of a noncompact torus H on the compact quotient G/L, where G is a Lie group containing H and L is a uniform lattice in G. Using harmonic analysis on G we pro…
Equivariant torsion of locally symmetric spaces
Anton Deitmar
The equivariant holomorphic torsion of a compact locally symmetric manifold and an automorphism is expressed as a special value of a zeta function built out of geometric data (clos…
Holomorphic torsion for Hermitian locally symmetric spaces
Anton Deitmar
The holomorphic torsion of a compact locally symmetric manifold is expressed as a special value of a zeta function built out of geometric data (closed geodesics) of the manifold.
On the index of Dirac operators on arithmetic quotients
Anton Deitmar
Using the Arthur-Selberg trace formula we express the index of a Dirac operator on an arithmetic quotient over a totally real field with at least two real embeddings as the integra…
A Lefschetz formula for flows
Anton Deitmar
For the geodesic flow of an odd dimensional hyperbolic manifold we prove a Lefschetz type formula. The local terms are Fuller indices of the closed orbits. The global "Frobenius op…