Transcendence with Rosen continued fractions

Yann Bugeaud; Pascal Hubert; Thomas A. Schmidt

Journal of the European Mathematical Society (2013)

  • Volume: 015, Issue: 1, page 39-51
  • ISSN: 1435-9855

Abstract

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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.

How to cite

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Bugeaud, Yann, Hubert, Pascal, and Schmidt, Thomas A.. "Transcendence with Rosen continued fractions." Journal of the European Mathematical Society 015.1 (2013): 39-51. <http://eudml.org/doc/277601>.

@article{Bugeaud2013,
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.},
author = {Bugeaud, Yann, Hubert, Pascal, Schmidt, Thomas A.},
journal = {Journal of the European Mathematical Society},
keywords = {Rosen continued fractions; Liouville inequality; Hecke groups; transcendence; Rosen continued fractions; Liouville inequality; Hecke groups; transcendence},
language = {eng},
number = {1},
pages = {39-51},
publisher = {European Mathematical Society Publishing House},
title = {Transcendence with Rosen continued fractions},
url = {http://eudml.org/doc/277601},
volume = {015},
year = {2013},
}

TY - JOUR
AU - Bugeaud, Yann
AU - Hubert, Pascal
AU - Schmidt, Thomas A.
TI - Transcendence with Rosen continued fractions
JO - Journal of the European Mathematical Society
PY - 2013
PB - European Mathematical Society Publishing House
VL - 015
IS - 1
SP - 39
EP - 51
AB - 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.
LA - eng
KW - Rosen continued fractions; Liouville inequality; Hecke groups; transcendence; Rosen continued fractions; Liouville inequality; Hecke groups; transcendence
UR - http://eudml.org/doc/277601
ER -

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