28 citations · 147 across the 67 of their papers we have counts for
4 papers · 2 filters
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…
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…
Tree-lattice zeta functions and class numbers
Antonius Deitmar, Ming-Hsuan Kang
The theory of Ihara zeta functions is extended to non-compact arithmetic quotients of Bruhat-Tits trees. This new zeta function turns out to be a rational function, despite the inf…