On families of additive exponential sums

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 2005 English Publisher:Elsevier BVJournal:Finite Fields and Their Applications, volume 11, pages 700-723 (issn: 1071-5797,

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Authors: Ondrej Such;

doi: 10.1016/j.ffa.2004.12.005

On families of additive exponential sums

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Abstract

AbstractIn this paper we compute geometric monodromy groups of additive exponential sums over BbbAn. Our approach builds on work of N. Katz, and involves p-adic analysis of explicit sums and computation of the Galois group of an equation over a function field in characteristic 2. The paper also provides a brief historical outline of the problem and lists previously known results.

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Keywords

Algebra and Number Theory, Applied Mathematics, Monodromy, Exponential sums, Additive characters, Engineering(all), Theoretical Computer Science

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