Bohr neighborhoods in three-fold difference sets

John T. Griesmer

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arXiv · 1608.02111

Bohr neighborhoods in three-fold difference sets

John T. Griesmer

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Abstract

Answering a question of Hegyv\'ari and Ruzsa , we show that if A is a set of integers having positive upper Banach density, then the set A+A-A:= {a+b-c: a, b, c are in A} contains Bohr neighborhoods of many elements of A, where the radius and dimension of the Bohr neighborhood depend only the upper Banach density of A.

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John T. Griesmer. 2016-08-06. Bohr neighborhoods in three-fold difference sets. https://arxiv.org/abs/1608.02111

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