Sous-groupes de IR liés à la répartition modulo 1 de suites

Jean-Pierre Borel

Annales de la Faculté des sciences de Toulouse : Mathématiques (1983)

  • Volume: 5, Issue: 3-4, page 217-235
  • ISSN: 0240-2963

How to cite

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Borel, Jean-Pierre. "Sous-groupes de IR liés à la répartition modulo 1 de suites." Annales de la Faculté des sciences de Toulouse : Mathématiques 5.3-4 (1983): 217-235. <http://eudml.org/doc/73150>.

@article{Borel1983,
author = {Borel, Jean-Pierre},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {distribution modulo one; additive subgroups},
language = {fre},
number = {3-4},
pages = {217-235},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Sous-groupes de IR liés à la répartition modulo 1 de suites},
url = {http://eudml.org/doc/73150},
volume = {5},
year = {1983},
}

TY - JOUR
AU - Borel, Jean-Pierre
TI - Sous-groupes de IR liés à la répartition modulo 1 de suites
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1983
PB - UNIVERSITE PAUL SABATIER
VL - 5
IS - 3-4
SP - 217
EP - 235
LA - fre
KW - distribution modulo one; additive subgroups
UR - http://eudml.org/doc/73150
ER -

References

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  1. [1] A.S. Besicovitch. «On the sum of digits of real numbers represented in the dyadic system». Math. Annalen110 (1934) p. 321-330. Zbl0009.39503JFM60.0949.01
  2. [2] P. Billingsley.«Ergodic theory and information». John Wiley & Sons (1964). Zbl0184.43301
  3. [3] J.P. Borel. «Répartition modulo 1 suivant la mesure de Dirac à l'origine». Note C.R.A.S. Série I, t. 294 (1982), p. 5-8. Zbl0503.10033MR651063
  4. [4] H.G. Eggleston. «Sets of fractional dimensions which occur in some problems of number theory». Proc. London Math. Soc. (2) 54 (1952), p. 42-93. Zbl0045.16603MR48504
  5. [5] P. Erdos, S.J. Taylor. «On the set of points of convergences of a lacunary trigonometric series and the equidistribution properties of related sequences». Proc. London Math. Soc. (3) 7 (1957), p. 598-615. Zbl0111.26801MR92032
  6. [6] P. Erdos, B. Voldmann. «Additive Gruppen mit vorgegebener Hausdorffsher Dimension». J. für die reine und angew. Math.221 (1966), p. 203-208. Zbl0135.10202MR186782
  7. [7] L. Kuipers, H. Niederreiter. «Uniform distribution of sequences». John Wiley & Sons (1974). Zbl0281.10001
  8. [8] G. Rauzy. «Caractérisation des ensembles normaux». Bull. S.M.F.98 (1970), p. 401-414. Zbl0218.10066MR280444
  9. [9] A. Thomas. «Dimension de Hausdorff». Bull. S.M.F. mémoire37 (1974),p. 161-167. Zbl0288.10018MR364152

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