3 papers
cs.IT2026
A New Class of Linear Codes
Akash Bhople, Giacomo Cherubini, Giacomo Micheli +1
Let be a prime power, be a prime with , and . Using the theory of multiplicative character sums and superelliptic curves, we construct ne…
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…