Note zu "Ueber einen besonderen Kettenbruch mit negativen Theilzählern nebst einleitenden allgemeineren Bemerkungen zur Convergenz oder Oscillation der Kettenbrüche".
We estimate the proportion of function fields satisfying certain conditions which imply a function field analogue of the Fontaine-Mazur conjecture. As a byproduct, we compute the fraction of abelian varieties (or even jacobians) over a finite field which have a rational point of order .