On Christol's conjecture

Y. Abdelaziz, C. Koutschan, J-M. Maillard

We show that the unresolved examples of Christol's conjecture ${}_3{F}_2\left([2/9,5/9,8/9],[2/3,1],x\right)$ and ${}_3{F}_2\left([1/9,4/9,7/9],[1/3,1],x\right)$, are indeed diagon…