Approximations diophantiennes des nombres sturmiens

Martine Queffélec

Journal de théorie des nombres de Bordeaux (2002)

  • Volume: 14, Issue: 2, page 613-628
  • ISSN: 1246-7405

Abstract

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Generalizing previous results of Ferenczi-Mauduit and Bullett-Sentenac, we prove that any sturmian number (with sturmian dyadic expansion) enjoys very sharp diophantine approximation properties, depending only on the angle of the sturmian sequence.

How to cite

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Queffélec, Martine. "Approximations diophantiennes des nombres sturmiens." Journal de théorie des nombres de Bordeaux 14.2 (2002): 613-628. <http://eudml.org/doc/248901>.

@article{Queffélec2002,
abstract = {Nous établissons pour tout nombre sturmien (de développement dyadique sturmien) des propriétés d'approximation diophantienne très précises, ne dépendant que de l'angle de la suite sturmienne, généralisant ainsi des travaux antérieurs de Ferenczi-Mauduit et Bullett-Sentenac.},
author = {Queffélec, Martine},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {Sturmian numbers; diophantine approximation},
language = {fre},
number = {2},
pages = {613-628},
publisher = {Université Bordeaux I},
title = {Approximations diophantiennes des nombres sturmiens},
url = {http://eudml.org/doc/248901},
volume = {14},
year = {2002},
}

TY - JOUR
AU - Queffélec, Martine
TI - Approximations diophantiennes des nombres sturmiens
JO - Journal de théorie des nombres de Bordeaux
PY - 2002
PB - Université Bordeaux I
VL - 14
IS - 2
SP - 613
EP - 628
AB - Nous établissons pour tout nombre sturmien (de développement dyadique sturmien) des propriétés d'approximation diophantienne très précises, ne dépendant que de l'angle de la suite sturmienne, généralisant ainsi des travaux antérieurs de Ferenczi-Mauduit et Bullett-Sentenac.
LA - fre
KW - Sturmian numbers; diophantine approximation
UR - http://eudml.org/doc/248901
ER -

References

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