In this paper we compute the trace formula for Hecke operators acting on automorphic forms on the hyperbolic 3-space for the group PSL2() with 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.
@article{bwmeta1.element.doi-10_2478_s11533-013-0384-8,
author = {Nicole Raulf},
title = {Trace formulae and applications to class numbers},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {824-847},
zbl = {1294.11076},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0384-8}
}
Nicole Raulf. Trace formulae and applications to class numbers. Open Mathematics, Tome 12 (2014) pp. 824-847. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0384-8/
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