Alain Lasjaunias

Period-doubling Continued Fractions are Algebraic in Characteristic $2$

2022 · arXiv (Cornell University)

Considering an arbitrary pair of distinct and non constant polynomials, $a$ and $b$ in $\mathbb{F}_2[t]$, we build a continued fraction in $\mathbb{F}_2((1/t))$ whose partial quotients are only equal to $a$ or $b$. In a previous …