A New Bound for Kloosterman Sums

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We give generating functions for Gauss sums for finite general linear and unitary groups. For the general linear case only our method of proof is new, but we deduce a bound on Kloosterman sums which is sometimes sharper than Deligne's bound from algebraic geometry.
We add a remark on Fourier analysis and make minor revisions

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Number Theory, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/61505

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0105172
 http://arxiv.org/abs/math/0105172

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arXiv