Abstract
In this paper we compute the trace formula for Hecke operators acting on automorphic forms on the hyperbolic 3-space for the group PSL2(\(\mathcal{O}_K \)) with \(\mathcal{O}_K \) being the ring of integers of an imaginary quadratic number field K of class number H K > 1. Furthermore, as a corollary we obtain an asymptotic result for class numbers of binary quadratic forms.
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Raulf, N. Trace formulae and applications to class numbers. centr.eur.j.math. 12, 824–847 (2014). https://doi.org/10.2478/s11533-013-0384-8
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DOI: https://doi.org/10.2478/s11533-013-0384-8