Maximal Unipotent Monodromy, congruences"\a la Lucas" and Algebraic independence

DV Montoya - arXiv preprint arXiv:2103.15192, 2021 - arxiv.org
Let $ f (z) $ be in $1+ z\mathbb {Q}[[z]] $ and $\mathcal {S} $ be an infinite set of prime
numbers such that, for all $ p\in\mathcal {S} $, we can reduce $ f (z) $ modulo $ p $. We let …