12 citations · 86 across the 51 of their papers we have counts for
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Periodicity and Period-Length Bounds for Browkin -Adic Continued Fractions
Stefano Barbero, Nadir Murru, Matilda Urani
Continued fractions have been introduced and studied in the field of --adic numbers by several authors, with the aim of developing analogues of the classical theory of real cont…
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…
Transcendence of -adic continued fractions and a quantitative -adic Roth theorem
Anne Kalitzin, Nadir Murru
In this paper, we improve some transcendence results for --adic continued fractions. In particular, we prove that palindromic and quasi--periodic --adic continued fractions c…
On the arithmetic of multidimensional continued fractions
Piotr Miska, Nadir Murru, Giuliano Romeo
The problem of developing an arithmetic for continued fractions (in order to perform, e.g., sums and products) does not have a straightforward solution and has been addressed by se…
Transcendence criteria for multidimensional continued fractions
Federico Accossato, Nadir Murru, Giuliano Romeo
Classical results on Diophantine approximation, such as Roth's theorem, provide the most effective techniques for proving the transcendence of special kinds of continued fractions.…
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…