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has been cited by the following article:
TITLE: Difference Sets of Null Density Subsets of N
AUTHORS: Dawoud Ahmadi Dastjerdi, Maryam Hosseini
KEYWORDS: Difference Set; Density; -Set
JOURNAL NAME: Advances in Pure Mathematics, Vol.2 No.3, May 29, 2012
ABSTRACT: Let , and for any , . If is positive, then B is considered as a large set with . Its difference set has both high density and rich structure. The set with is also relatively large and it is a long standing conjecture that like sets with positive upper density they have arithmetic progression of arbitrary length. Here we show their difference set may not be substantial; for any there exists such that and .