Sur certains sous-groupes de ℝ liés à la suite des factorielles

Jean-Pierre Borel

Colloquium Mathematicae (1991)

  • Volume: 62, Issue: 1, page 21-30
  • ISSN: 0010-1354

How to cite


Borel, Jean-Pierre. "Sur certains sous-groupes de ℝ liés à la suite des factorielles." Colloquium Mathematicae 62.1 (1991): 21-30. <>.

author = {Borel, Jean-Pierre},
journal = {Colloquium Mathematicae},
keywords = {saturated subgroups of ; Cantor series expansion},
language = {fre},
number = {1},
pages = {21-30},
title = {Sur certains sous-groupes de ℝ liés à la suite des factorielles},
url = {},
volume = {62},
year = {1991},

AU - Borel, Jean-Pierre
TI - Sur certains sous-groupes de ℝ liés à la suite des factorielles
JO - Colloquium Mathematicae
PY - 1991
VL - 62
IS - 1
SP - 21
EP - 30
LA - fre
KW - saturated subgroups of ; Cantor series expansion
UR -
ER -


  1. [BOR] J.-P. Borel, Sous-groupes de ℝ liés à la répartition modulo 1 de suites, Ann. Fac. Sci. Toulouse 5 (1983), 218-235. 
  2. [EGG] E. H. Eggleston, Sets of fractional dimensions which occur in some problems of number theory, Proc. London Math. Soc. (2) 54 (1952), 42-93. 
  3. [ERD] P. Erdős and S. J. Taylor, On the set of points of convergence of a lacunary trigonometric series and the equidistribution properties of related sequences, ibid. 7 (1957), 598-615. Zbl0111.26801
  4. [MEL1] J.-F. Méla, Groupes de valeurs propres des systèmes dynamiques et sous- groupes saturés du cercle, C. R. Acad. Sci. Paris 296 (1983), 419-422. Zbl0547.28011
  5. [MEL2] J.-F. Méla, Sous-groupes remarquables du cercle en analyse harmonique et en théorie ergodique, Groupe de travail de théorie ergodique, CIRM Luminy, septembre 1988. 

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