8 citations · 19 across the 11 of their papers we have counts for
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Lefschetz formulae for p-adic groups
Anton Deitmar
Lefschetz formulae for torus actions on p-adic groups are proven.
The Ihara-Selberg zeta function for PGL(3) and Hecke operators
Anton Deitmar
We prove an approximation to an Ihara-formula for the zeta function of an arithmetic quotient of the Bruhat-Tits building of a p-adic PGL(3).
The Lewis Correspondence for submodular groups
Anton Deitmar, Joachim Hilgert
The Lewis Correspondence attaching a unique "period function" to each Maass wave form for SL(2,Z) is extended to subgroups of finite index. This is achieved by using vector-valued…
Schemes over
Anton Deitmar
Using the approach of Kurokawa, Ochiai, and Wakayama to 'absolute mathematics' we define a corresponding notion of schemes.
Cohomology of arithmetic groups with infinite dimensional coefficient spaces
Anton Deitmar, Joachim Hilgert
The cuspidal cohomology groups of arithmetic groups in certain infinite dimensional Modules are computed. As a result we get a simultaneous generalization of the Patterson-Conjectu…
A discrete Lefschetz formula
Anton Deitmar
A Lefschetz formula is given that relates loops in a regular finite graph to traces of a certain representation. As an application the poles of the Ihara/Bass zeta function are exp…