Each positive rational number has the form $\varphi(m^2)/\varphi(n^2)$

Dmitry Krachun; Zhi-Wei Sun

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Each positive rational number has the form φ(m²)/φ(n²)

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arxiv 2001.03736 v2 pith:JL6WGS4Y submitted 2020-01-11 math.HO math.NT

Each positive rational number has the form φ(m²)/φ(n²)

Dmitry Krachun , Zhi-Wei Sun This is my paper

classification math.HO math.NT

keywords varphipositivenumberrationaleulerformfunctionintegers

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In this note, we show that each positive rational number can be written as $\varphi(m^2)/\varphi(n^2)$, where $\varphi$ is Euler's totient function and $m$ and $n$ are positive integers.

Each positive rational number has the form φ(m²)/φ(n²)

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