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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 , where is a pali…