On the Product of Sets with Density 1 and Its Addition
Abstract
Bettin, D. Koukoulopuos and C. Sanna proved in 2021 that the set of products of two arbitrary sets of integer with unit density is again a set with density of one. Article 3 of the authors also provides the top grades for the so-called corresponding complement sets under some special constraints. This article provides similar estimates for weaker restrictions.
References
1. S.Bettin; D. Koukoulopoulos, С. Sanna A note on the natural density of product sets. Bull. Lond. Math. Soc. 53, No. 5, 1407-1413 (2021).
Review
For citations:
Shteinikov Y.N. On the Product of Sets with Density 1 and Its Addition. SRISA Proceedings. 2022;12(3):62-64. (In Russ.)
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