3 papers
math.NT2026
On the discrete convolution of the Liouville and Möbius functions
Marco Cantarini, Alessandro Gambini, Alessandro Zaccagnini
In this article we study some properties of the discrete convolution of Liouville function , which is a Goldbach…
math.NT2025
On Eswarathasan--Levine and Boyd's conjectures for harmonic numbers
Leonardo Carofiglio, Giacomo Cherubini, Alessandro Gambini
We provide numerical evidence towards three conjectures on harmonic numbers by Eswarathasan--Levine and Boyd. Let denote the set of integers such that the harmonic…
math.NT2024
Diophantine approximation with a quaternary problem
Alessandro Gambini
Let , and be non-zero real numbers, not all of the same sign such that is irrational and let be a real number. We prove that the i…