Sum formula for Kloosterman sums and the fourth moment of the Dedekind zeta-function over the Gaussian number field
Publication date
2003
Authors
Bruggeman, Roelof
Motohashi, Y.
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Document Type
Article
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Abstract
We prove the Kloosterman-Spectral sum formula for PSL2(Z[i])∖PSL2(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.
Keywords
Mathematics, Wiskunde en computerwetenschappen, Landbouwwetenschappen, Wiskunde: algemeen
Citation
Bruggeman, R W & Motohashi, Y 2003, 'Sum formula for Kloosterman sums and the fourth moment of the Dedekind zeta-function over the Gaussian number field', Functiones et Approximatio, vol. 31, pp. 23-92. https://doi.org/10.7169/facm/1538186640