### 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 language | English |
---|---|

Pages (from-to) | 437-443 |

Number of pages | 7 |

Journal | Australasian Journal of Combinatorics |

Volume | 64 |

Issue number | 3 |

Publication status | Published - 2016 |

### Fingerprint

### ASJC Scopus subject areas

- Discrete Mathematics and Combinatorics

### Cite this

*Australasian Journal of Combinatorics*,

*64*(3), 437-443.

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

Research output: Contribution to journal › Article

*Australasian Journal of Combinatorics*, vol. 64, no. 3, pp. 437-443.

}

TY - JOUR

T1 - Additive structure of difference sets and a theorem of følner

AU - Hegyvári, Norbert

AU - Ruzsa, I.

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84957063001&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84957063001&partnerID=8YFLogxK

M3 - Article

VL - 64

SP - 437

EP - 443

JO - Australasian Journal of Combinatorics

JF - Australasian Journal of Combinatorics

SN - 1034-4942

IS - 3

ER -