Additive structure of difference sets and a theorem of følner

Norbert Hegyvári, I. Ruzsa

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A theorem of Folner asserts that for any set A ⊂ ℤ of positive upper density there is a Bohr neigbourhood B of 0 such that B\(A − A) has zero density. We use this result to deduce some consequences about the structure of difference sets of sets of integers having a positive upper density.

Original languageEnglish
Pages (from-to)437-443
Number of pages7
JournalAustralasian Journal of Combinatorics
Volume64
Issue number3
Publication statusPublished - 2016

Fingerprint

Difference Set
Theorem
Deduce
Integer
Zero

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

Cite this

Additive structure of difference sets and a theorem of følner. / Hegyvári, Norbert; Ruzsa, I.

In: Australasian Journal of Combinatorics, Vol. 64, No. 3, 2016, p. 437-443.

Research output: Contribution to journalArticle

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