Multiplicative bases and an Erd\H{o}s problem
Number Theory
2016-02-23 v1
Abstract
In this paper we investigate how small the density of a multiplicative basis of order can be in and in . Furthermore, a related problem of Erd\H os is also studied: How dense can a set of integers be, if none of them divides the product of others?
Keywords
Cite
@article{arxiv.1602.06724,
title = {Multiplicative bases and an Erd\H{o}s problem},
author = {Péter Pál Pach and Csaba Sándor},
journal= {arXiv preprint arXiv:1602.06724},
year = {2016}
}