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Multiplicative complements II

2023/05/05 by Anett Kocsis, Kocsis, Anett, Dávid Matolcsi +5
Mathematics · #Limits and Structures in Graph Theory #Advanced Topology and Set Theory #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2305.03377

Abstract

In this paper we prove that if A and B are infinite subsets of positive integers such that every positive integer n can be written as n=ab, a∈ A, b∈ B, then limx→ ∞(A(x)B(x))/(x)=∞ . We also prove many other results about sets like this.

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