Giulia Salvatori

activity

20242026

collaborators

Showing math.NTShow all

4 papers · 1 filter

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 $K$ , let $K ((T^{- 1}))$ be the field of formal power series. Continued fractions in $K ((T^{- 1}))$ can be defined by analogy with classical real continued fractions and…

math.NT2025

The arithmetic of continued fractions in the field of $p$ -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…

math.NT2024

Algebraic integers with continued fraction expansions containing palindromes and square roots with prescribed periods

Stefano Barbero, Umberto Cerruti, Nadir Murru +1

We present a characterization of the algebraic integers with continued fraction expansions of the form $[a_{0}, a_{1}, \dots, a_{n}, s]$ , where $(a_{1}, \dots, a_{n})$ is a pali…

Transcendence of continued fractions over function fields and a quantitative version of Uchiyama's theorem

The arithmetic of continued fractions in the field of p-adic numbers

Integer Factorization via Continued Fractions and Quadratic Forms

Algebraic integers with continued fraction expansions containing palindromes and square roots with prescribed periods

The arithmetic of continued fractions in the field of $p$ -adic numbers