3 papers
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 , let be the field of formal power series. Continued fractions in can be defined by analogy with classical real continued fractions and…
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.…
math.NT2024
On the number of residues of certain second-order linear recurrences
Federico Accossato, Carlo Sanna
For every monic polynomial with , let be the set of all linear recurrences with values in and char…