28 citations · 147 across the 67 of their papers we have counts for
7 papers · 1 filter
Building lattices and zeta functions
Anton Deitmar, Ming-Hsuan Kang, Rupert McCallum
We introduce the notion of a building lattice generalizing tree lattices. We give a Lefschetz formula and apply it to geometric zeta functions. We further generalize Bass's approac…
Holomorphic torsion and closed geodesics
Anton Deitmar
The holomorphic torsion of a hermitian locally symmetric space is expressed as a special value of a geometric zeta function.
A trace formula for non-unitary representations of a uniform lattice
Anton Deitmar, Frank Monheim
In this work we shall generalize the Selberg trace formula to a non-unitary finite-dimensional complex representation of a uniform lattice …
Ihara zeta functions and class numbers
Anton Deitmar
The prime geodesic theorem for cycles in Bruhat-Tits buildings is applied to unit groups of division algebras to derive new asymptotic assertion on class numbers of orders in imagi…
Two application of nets
Ralf Beckmann, Anton Deitmar
Two applications of nets are given. The first is an extension of the Bochner integral to arbitrary locally convex spaces, leading to an integration theorye of more general vector v…
Ihara Zeta functions of infinite weighted graphs
Antonius Deitmar
The theory of Ihara zeta functions is extended to infinite graphs which are weighted and of finite total weight. In this case one gets meromorphic instead of rational functions and…