Adamczewski Boris & Yann Bugeaud
On the Maillet-Baker continued fractions
We use the Schmidt Subspace Theorem to establish the transcendence of
a class of quasi-periodic continued fractions.This improves earlier works
of Maillet and of A. Baker. We also improve an old result of Davenport
and Roth on the rate of increase of the denominators of the convergents to
any algebraic number.
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