3 papers
math.NT2026
Transcendence of continued fractions over function fields and a quantitative version of Uchiyama's theorem
Federico Accossato, Nadir Murru, Giuliano Romeo +1
Given a field , let be the field of formal power series. Continued fractions in can be defined by analogy with classical real continued fractions and…
math.NT2025
The arithmetic of continued fractions in the field of -adic numbers
Giuliano Romeo, Giulia Salvatori
Continued fractions have been long studied due to their strong properties, such as rational approximation. In this extent, their arithmetic over real numbers has represented an int…
math.NT2025
Integer Factorization via Continued Fractions and Quadratic Forms
Nadir Murru, Giulia Salvatori
We propose a novel factorization algorithm that leverages the theory underlying the SQUFOF method, including reduced quadratic forms, infrastructural distance, and Gauss compositio…