28 citations · 147 across the 67 of their papers we have counts for
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Weighted prime geodesic theorems
Anton Deitmar
Prime geodesic theorems for weighted infinite graphs and weighted building quotients are given. The growth rates are expressed in terms of the spectral data of suitable translation…
A prime Geodesic Theorem for SL3(Z)
Anton Deitmar, Yasuro Gon, Polyxeni Spilioti
We show a Prime Geodesic Theorem for the group SL3(Z), counting those geodesics whose lifts lie in the split Cartan subgroup. This is the first arithmetic Prime Geodesic Theorem of…
Eisenstein series with non-unitary twists
Anton Deitmar, Frank Monheim
It is shown that for a non-unitary twist of a Fuchsian group, which is unitary at the cusps, Eisenstein series converge in some half-plane. It is shown that invariant integral oper…
A prime geodesic theorem for higher rank buildings
Anton Deitmar, Rupert McCallum
We prove a prime geodesic theorem for compact quotients of affine buildings and apply it to get class number asymptotics for global fields of positive characteristic.
Height growth on semisimple groups
Anton Deitmar, Rupert McCallum
A condition is given, under which a general lattice point counting function is asymptotic to the corresponding ball volume growth function. This is then used to give height asympto…
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 …