Matteo Ferrari

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20202026

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math.NT2021

On the minimal number of solutions of the equation $ϕ (n + k) = M ϕ (n)$ , $M = 1$ , $2$

Matteo Ferrari, Lorenzo Sillari

We fix a positive integer $k$ and look for solutions of the equations $ϕ (n + k) = ϕ (n)$ and $ϕ (n + k) = 2 ϕ (n)$ . We prove that Fermat primes can be used to build five solutions for th…

math.NT2020

On a basic mean value Theorem with explicit exponents

Matteo Ferrari

In this paper we follow a paper from A. Sedunova (2017) regarding R. C. Vaughan's basic mean value Theorem (Acta Arith. 1980) to improve and complete a more general demonstration f…

On the minimal number of solutions of the equation ϕ(n+k)=Mϕ(n), M=1, 2

On a basic mean value Theorem with explicit exponents

On the minimal number of solutions of the equation $ϕ (n + k) = M ϕ (n)$ , $M = 1$ , $2$