Additive structure of difference sets and a theorem of Følner

نویسندگان

  • Norbert Hegyvári
  • Imre Z. Ruzsa
چکیده

A theorem of Følner 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.

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 64  شماره 

صفحات  -

تاریخ انتشار 2016