Aimin Guo

collaborators

2 papers

math.NT2026

On the distribution of $ϕ (ψ (n))$ and $ψ (ψ (n))$

Aimin Guo

Let $ψ (n)$ and $ϕ (n)$ denote Dedekind's arithmetic function and Euler's totient function, respectively. We study the distribution of the compositions $ϕ (ψ (n))$ and $ψ (ψ (n))$ . In pa…

math.NT2025

On the Composition of the Euler Function and the Dedekind Arithmetic Function

Aimin Guo, Huan Liu, Qiyu Yang

Let $I (n) = \frac{I ¨ ( I ¨ ( n ))}{I ¨ ( I ¨ ( n ))}$ and $K (n) = \frac{I ¨ ( I ¨ ( n ))}{I ¨ ( I ¨ ( n ))}$ , where $I ¨ (n)$ is Euler's function and $I ¨ (n)$ is Dedekind's arithmetic function. We obtain the ma…

On the distribution of ϕ(ψ(n)) and ψ(ψ(n))

On the Composition of the Euler Function and the Dedekind Arithmetic Function

On the distribution of $ϕ (ψ (n))$ and $ψ (ψ (n))$