3 papers
math.CO2024
Variants of the Erdős distinct sums problem and variance method
Simone Costa, Stefano Della Fiore, Andrea Ferraguti
Let be a set of positive integers with such that all subset sums are pairwise distinct. A famous conjecture of Erdős states tha…
cs.IT2023
Number Theoretical Locally Recoverable Codes
Andrea Ferraguti, Dorian Goldfeld, Giacomo Micheli
In this paper we give constructions for infinite sequences of finite non-linear locally recoverable codes over a product o…
math.NT2023
Abelian dynamical Galois groups for unicritical polynomials
Andrea Ferraguti, Carlo Pagano
Andrews and Petsche proposed in 2020 a conjectural characterization of all pairs , where is a polynomial over a number field and , such that the dynamical Ga…