On the Maillet-Baker continued fractions

By Boris Adamczewski, Yann Bugeaud. 2005

47 citations recorded by the source corpus.

Abstract 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 real algebraic number.

Subfields: Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/716a856c27bba868b757bbd906bfbeeb22d03c91