Rational digit systems over finite fields and Christol's Theorem

Manuel Joseph C. Loquias, Mohamed Mkaouar, Klaus Scheicher +1

Let $P,Q\in {\mathbb{F}}_q[X]\setminus \{0\}$ be two coprime polynomials over the finite field ${\mathbb{F}}_q$ with $\mathrm{deg}P>\mathrm{deg}Q$. We represent each…