28 citations · 147 across the 67 of their papers we have counts for
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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.
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.
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.