On the values of a class of analytic functions at algebraic points
Boris Adamczewski, Yann Bugeaud, Florian Luca · Acta Arithmetica · 2008
We introduce a class of analytic functions of number theoretic interest, namely stammering functions. It has been recently proved that these functions take transcendental values at some algebraic points. In the present paper, we establish 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.