Boris Adamczewski, Yann Bugeaud & Florian Luca

On the values of a class of analytic functions at algebraic points

We introduce a class of analytic functions of number theoretic interest, namely stammering functions. Recent results prove that these functions take transcendental values at some algebraic points. In the present paper, we prove a general transcendence criterion that extends these results. Another aim is to underline the main difficulties arising from the use of the Schmidt Subspace Theorem in this context.