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.
