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 $K$, let $K((T^{-1}))$ be the field of formal power series. Continued fractions in $K((T^{-1}))$ can be defined by analogy with classical real continued fractions and…