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

نویسندگان

  • Boris ADAMCZEWSKI
  • Yann BUGEAUD
چکیده

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.

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تاریخ انتشار 2007