Each positive rational number has the form $\varphi(m^2)/\varphi(n^2)$
History and Overview
2020-10-23 v2 Number Theory
Abstract
In this note, we show that each positive rational number can be written as , where is Euler's totient function and and are positive integers.
Cite
@article{arxiv.2001.03736,
title = {Each positive rational number has the form $\varphi(m^2)/\varphi(n^2)$},
author = {Dmitry Krachun and Zhi-Wei Sun},
journal= {arXiv preprint arXiv:2001.03736},
year = {2020}
}
Comments
3 pages