Difference Sets and Positive Exponential Sums I. General Properties

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Abstract

We describe general connections between intersective properties of sets in Abelian groups and positive exponential sums. In particular, given a set A the maximal size of a set whose difference set avoids A will be related to positive exponential sums using frequencies from A.

Original languageEnglish
Pages (from-to)17-41
Number of pages25
JournalJournal of Fourier Analysis and Applications
Volume20
Issue number1
DOIs
Publication statusPublished - Feb 2014

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Keywords

  • Delsarte's constant
  • Difference sets
  • Positive exponential sums

ASJC Scopus subject areas

  • Analysis
  • Mathematics(all)
  • Applied Mathematics

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