Difference Sets of Null Density Subsets of N

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References

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[3] V. Bergelson, “Partition Regular Structures Contained in Large Sets Are Abundant,” Journal of Combinatorial Theory, Series A, Vol. 93, No. 1, 2001, pp. 18-36.doi:10.1006/jcta.2000.3061

[4] T. C. Brown and A. R. Freedman, “Arithmetic Progressions in Lacunary Sets,” Rocky Mountain Journal of Mathematics, Vol. 17, No. 3, 1987, pp. 587-596.
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[5] V. Bergelson, N. Hindman and R. McCutchen, “Notions of Size and Combinatorial Properties of Quotient Sets in Semigroups,” Topology Proceedings, Vol. 23, 1998, pp. 23-60.

[6] E. Szemerdi, “On Sets of Integers Containing No k Ele- ments in Arithmetic Progression,” Acta Arithmetica, Vol. 27, 1975, pp. 199-245.

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[8] B. Green and T. Tao, “The Primes Contain Arbitrarily Long Arithmetic Progressions,” Annals of Mathematics, Vol. 167, No. 2, 2004, pp. 481-547.
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