Mathematics – Number Theory
Scientific paper
2002-05-07
Mathematics
Number Theory
64 pages; Plain TeX
Scientific paper
We prove the Kloosterman-Spectral sum formula for PSL(2,Z[i])\PSL(2,C), and
apply it to derive an explicit spectral expansion for the fourth power moment
of the Dedekind zeta function of the Gaussian number field. This sum formula
allows the extension of the spectral theory of Kloosterman sums to all
algebraic number fields.
Bruggeman Roelof W.
Motohashi Yoichi
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