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math.NT2017
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…
math.FA2017
Spectral theory for non-unitary twists
Anton Deitmar
Let be a Lie-group and $\Ga\subset G$ a cocompact lattice. For a finite-dimensional, not necessarily unitary representation $\om$ of $\Ga$ we show that the -representation o…