On the densities of rational multiples
Number Theory
2010-02-22 v1
Abstract
The Erdos-Davenport theorem on the multiples claims that for any set of natural numbers the set consisting of their multiples possesses the logarithmic density. An analogous statement is proved for the sets of rational multiples.
Keywords
Cite
@article{arxiv.1002.3808,
title = {On the densities of rational multiples},
author = {Vilius Stakenas},
journal= {arXiv preprint arXiv:1002.3808},
year = {2010}
}