Giulia Salvatori

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20242026

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math.NT2024

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…