Note on the Radicals of Numbers
Number Theory
2007-05-23 v1
Abstract
We prove that for any given s > 0 the geometric mean of the radicals of the phi(n) integers less than n and relatively prime to n, is greater than K(s)R(n) ^(-s)n, where K(s) an absolute constant depending only on s.
Cite
@article{arxiv.math/0608014,
title = {Note on the Radicals of Numbers},
author = {Constantin M. Petridi},
journal= {arXiv preprint arXiv:math/0608014},
year = {2007}
}