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math.NT2026
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…
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.NT2026
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…