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.
Cite this article
Yann Bugeaud, Pascal Hubert, Thomas A. Schmidt, Transcendence with Rosen continued fractions. J. Eur. Math. Soc. 15 (2013), no. 1, pp. 39–51DOI 10.4171/JEMS/355