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math.NT2025
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…
math.NT2025
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.…