Abstract
We prove the Kloosterman-Spectral sum formula for $\mathrm{PSL}_{2}(\mathbb{Z}[i])\backslash \mathrm{PSL}_{2}(\mathbb{C})$, and apply it to derive an explicit spectral expansion for the fourth power moment of the Dedekind zeta-function of the Gaussian number field.
Citation
Roelof W. Bruggeman. Yoichi Motohashi. "Sum formula for Kloosterman sums and fourth moment of the Dedekind zeta-function over the Gaussian number field." Funct. Approx. Comment. Math. 31 23 - 92, 2003. https://doi.org/10.7169/facm/1538186640
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