2 problems

Let $f(x)\in\mathbb{Q}[[x]]$ be a $D$-finite series and let $n$ be the minimal order of a differential operator that annihilates $f(x)$. Let $K$ be a number field and let…

Let $A(t)=\sum_{n\ge 0} a_n t^n\in\mathbb Z[[t]]$, suppose that $|a_n|<c^n$ for all $n\in\mathbb N$ and some $c>0$, and suppose that $A$ is D-finite. Christol's conjecture. Then…