Zentralblatt MATH
Publications of (and about) Paul Erdös
Zbl.No: 868.05009
Autor: Bergelson, Vitaly; Erdös, Paul; Hindman, Neil; Luczak, Tomasz
Title: Dense difference sets and their combinatorial structure. (In English)
Source: Graham, Ronald L. (ed.) et al., The mathematics of Paul Erdös. Vol. I. Berlin: Springer, Algorithms Comb. 13, 165-175 (1997).
Review: Given a set B of positive integers, the ``difference set'' of B is defined in the paper as the set of differences D(B) = {x-y | x,y in B, x > y}. It is shown that if B has positive upper density then D(B) has rich additive and multiplicative structure.
Reviewer: V.D.Tonchev (Houghton)
Classif.: * 05B10 Difference sets
Keywords: difference sets
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