4 papers
Distribution of prime geodesic traces
Anton Deitmar
This note complements a recent paper of Chatzakos, Harcos and Kaneko \cite{CHK}. We use a Dirichlet style Prime Geodesic Theorem to improve the error term estimate in loc. cit. at…
Benjamini-Schramm and spectral convergence II. The non-homogeneous case
Anton Deitmar
The equivalence of spectral convergence and Benjamini-Schramm convergence is extended from homogeneous spaces to spaces which are compact modulo isometry group. The equivalence is…
A spectral theorem for compact representations and non-unitary cusp forms
Anton Deitmar
We show that a compact representation of a semisimple Lie group has an orthogonal decomposition into finite length representations. This generalises and simplifies a number of more…
Regularized and -Determinants
Anton Deitmar
It is shown that in a tower of coverings the regularized determinant of a generalized Laplacian converges to the -determinant. This shows generic nontriviality of analytic tor…