Difference sets and positive exponential sums I. General properties

Published 7 Jul 2012 in math.CO and math.NT | (1207.1781v2)

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 $A$.

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