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Bohr neighborhoods in three-fold difference sets

Published 6 Aug 2016 in math.DS | (1608.02111v2)

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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Authors (1)

  1. John T. Griesmer 

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