Alessandro Gambini

collaborators

2 papers

math.NT2024

Diophantine approximation with a quaternary problem

Alessandro Gambini

Let $1 < k < 7/6$ , $λ_{1}, λ_{2}, λ_{3}$ and $λ_{4}$ be non-zero real numbers, not all of the same sign such that $λ_{1} / λ_{2}$ is irrational and let $ω$ be a real number. We prove that the inequali…

math.NT2024

Laplace convolutions of weighted averages of arithmetical functions

Marco Cantarini, Alessandro Gambini, Alessandro Zaccagnini

Let $G (g; x) := \sum_{n \leq x} g (n)$ be the summatory function of an arithmetical function $g (n)$ . In this paper, we prove that we can write weighted averages of an arbitrary fixed num…