English

Multiplicative complements I

Number Theory 2022-04-04 v1

Abstract

In this paper, we study how dense a multiplicative basis of order hh for Z+ ⁣\mathbb{Z}^+\! can be, improving on earlier results. Upon introducing the notion of a \textit{multiplicative complement}, we present some tight density bounds.

Keywords

Cite

@article{arxiv.2204.00412,
  title  = {Multiplicative complements I},
  author = {Anett Kocsis and Dávid Matolcsi and Csaba Sándor and György Tőtős},
  journal= {arXiv preprint arXiv:2204.00412},
  year   = {2022}
}

Comments

20 pages

R2 v1 2026-06-24T10:34:38.892Z