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Spectral Structure of Sets of Integers

  • Ben Green
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Abstract

Let Ë be a small subset of a finite abelian group, and let R be the set of points at which its Fourier transform is large. A result of Chang states that R has a great deal of additive structure. We give a statement and a proof of this result and discuss some applications of it. Finally, we discuss some related open questions.

Keywords

Arithmetic Progression Spectral Structure Finite Abelian Group Additive Number Theory Independent Bernoulli Random Variable 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Ben Green
    • 1
  1. 1.Trinity CollegeCambridge CB2 1TQEngland

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