Sum formula for Kloosterman sums and fourth moment of the Dedekind zeta-function over the Gaussian number field

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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.
64 pages; Plain TeX

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Number Theory, Representation Theory, 11M41; 11F72; 11L05; 22E30

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http://salesiana.dossiersoluciones.com/handle/123456789/63997

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0205066
 http://arxiv.org/abs/math/0205066

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arXiv