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math.NT2025
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…
math.NT2024
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…