Transcendence with Rosen continued fractions

Yann Bugeaud; Pascal Hubert; Thomas A. Schmidt

doi:10.4171/jems/355

JournalsjemsVol. 15, No. 1pp. 39–51

Transcendence with Rosen continued fractions

Yann Bugeaud
Université de Strasbourg, France
Pascal Hubert
Université Aix-Marseille III, Marseille, France
- MathSciNet
- zbMATH Open
Thomas A. Schmidt
Oregon State University, Corvallis, USA
- MathSciNet
- zbMATH Open

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Abstract

We give the first transcendence results for the Rosen continued fractions. Introduced over half a century ago, these fractions expand real numbers in terms of certain algebraic numbers.

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Yann Bugeaud, Pascal Hubert, Thomas A. Schmidt, Transcendence with Rosen continued fractions. J. Eur. Math. Soc. 15 (2013), no. 1, pp. 39–51

DOI 10.4171/JEMS/355