Difference sets and positive exponential sums I. General properties
Combinatorics
2012-07-17 v2 Number Theory
Abstract
We describe general connections between intersective properties of sets in Abelian groups and positive exponential sums. In particular, given a set the maximal size of a set whose difference set avoids will be related to positive exponential sums using frequencies from .
Cite
@article{arxiv.1207.1781,
title = {Difference sets and positive exponential sums I. General properties},
author = {Mate Matolcsi and Imre Z. Ruzsa},
journal= {arXiv preprint arXiv:1207.1781},
year = {2012}
}
Comments
21 pages, a few remarks added, and one theorem slightly extended