Showing math.NTShow all
2 papers · 1 filter
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
Coprime-Universal Quadratic Forms
Matteo Bordignon, Giacomo Cherubini
Given a prime , we characterize positive-definite integral quadratic forms that are coprime-universal for , i.e. representing all positive integers coprime to . This gen…