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Displaying similar documents to “The laplacian operator on a Riemann surface”

Trace formulae and applications to class numbers

Nicole Raulf (2014)

Open Mathematics

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In this paper we compute the trace formula for Hecke operators acting on automorphic forms on the hyperbolic 3-space for the group PSL2( 𝒪 K ) with 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.