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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Cuntz, Joachim / Huybrechts, Daniel / Hwang, Jun-Muk

12 Issues per year


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On the Maillet-Baker continued fractions

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2007, Issue 606, Pages 105–121, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/CRELLE.2007.036, August 2007

Publication History

Received:
2005-07-11
Revised:
2006-03-07
Published Online:
2007-08-07

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.

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