Multiplicative complements I
Volume 207 / 2023
Acta Arithmetica 207 (2023), 101-120
MSC: Primary 11N25; Secondary 11B34.
DOI: 10.4064/aa220408-3-1
Published online: 28 February 2023
Abstract
We study how dense a multiplicative basis of order $h$ for $\mathbb Z^+$ can be, improving on earlier results. Upon introducing the notion of a multiplicative complement, we present some tight density bounds.