Transcendence with Rosen continued fractions
Journal of the European Mathematical Society, Tome 15 (2013) no. 1, pp. 39-51
Cet article a éte moissonné depuis la source EMS Press
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.
Classification :
11-XX, 00-XX
Keywords: Rosen continued fractions, Liouville inequality, Hecke groups, transcendence
Keywords: Rosen continued fractions, Liouville inequality, Hecke groups, transcendence
@article{JEMS_2013_15_1_a1,
author = {Yann Bugeaud and Pascal Hubert and Thomas A. Schmidt},
title = {Transcendence with {Rosen} continued fractions},
journal = {Journal of the European Mathematical Society},
pages = {39--51},
year = {2013},
volume = {15},
number = {1},
doi = {10.4171/jems/355},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/355/}
}
TY - JOUR AU - Yann Bugeaud AU - Pascal Hubert AU - Thomas A. Schmidt TI - Transcendence with Rosen continued fractions JO - Journal of the European Mathematical Society PY - 2013 SP - 39 EP - 51 VL - 15 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/355/ DO - 10.4171/jems/355 ID - JEMS_2013_15_1_a1 ER -
Yann Bugeaud; Pascal Hubert; Thomas A. Schmidt. Transcendence with Rosen continued fractions. Journal of the European Mathematical Society, Tome 15 (2013) no. 1, pp. 39-51. doi: 10.4171/jems/355
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