Sur le développement en fraction continue de la série de Baum et Sweet

Mohamed Mkaouar

Bulletin de la Société Mathématique de France (1995)

  • Volume: 123, Issue: 3, page 361-374
  • ISSN: 0037-9484

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Mkaouar, Mohamed. "Sur le développement en fraction continue de la série de Baum et Sweet." Bulletin de la Société Mathématique de France 123.3 (1995): 361-374. <http://eudml.org/doc/87722>.

@article{Mkaouar1995,
author = {Mkaouar, Mohamed},
journal = {Bulletin de la Société Mathématique de France},
keywords = {continued fraction; power series of Baum and Sweet; non--automatic partial quotients},
language = {fre},
number = {3},
pages = {361-374},
publisher = {Société mathématique de France},
title = {Sur le développement en fraction continue de la série de Baum et Sweet},
url = {http://eudml.org/doc/87722},
volume = {123},
year = {1995},
}

TY - JOUR
AU - Mkaouar, Mohamed
TI - Sur le développement en fraction continue de la série de Baum et Sweet
JO - Bulletin de la Société Mathématique de France
PY - 1995
PB - Société mathématique de France
VL - 123
IS - 3
SP - 361
EP - 374
LA - fre
KW - continued fraction; power series of Baum and Sweet; non--automatic partial quotients
UR - http://eudml.org/doc/87722
ER -

References

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  2. [ALL 2] ALLOUCHE (J.-P.)Sur le développement en fraction continue de certaines séries formelles. — C. R. Acad. Sciences, t. 307, 1988, p. 631-633. Zbl0657.10035MR89m:11067
  3. [A-B-S] ALLOUCHE (J.-P.), BETREMA (J.) et SHALLIT (J.). — Sur des points fixes de morphismes d'un monoïde libre, RAIRO Informatique Théorique et Applications, t. 23, 1989, p. 235-249. Zbl0691.68065MR91a:68154
  4. [A-F-V] ALLOUCHE (J.-P.), MENDÈS FRANCE (M.) et VAN DER POORTEN (A.J.). — An infinite product with bounded partiel quotients, Acta Arithmetica, t. 59, 1991, p. 171-182. Zbl0749.11014MR92k:11074
  5. [B-S 1] BAUM (L.E.) et SWEET (M.M.). — Continued fractions of algebric power series in caracteristic 2, Ann. of Math., t. 103, 1976, p. 593-610. Zbl0312.10024MR53 #13127
  6. [B-S 2] BAUM (L.E.) et SWEET (M.M.). — Badly approximable power series in characteristic 2, Ann. of Math., t. 105, 1977, p. 573-580. Zbl0352.10017MR56 #2928
  7. [C-K-M-R] CHRISTOL (G.), KAMAE (T.), MENDÈS FRANCE et RAUZY (G.)Suites algébriques, automates et substitutions. — Bull. Soc. Math. France, t. 108, 1980, p. 401-419. Zbl0472.10035MR82e:10092
  8. [COB 1] COBHAM (A.). — On the base-dependence of sets of numbers reconizable by finite automata, Math. Syst. Theory, t. 3, 1969, p. 186-192. Zbl0179.02501MR40 #4021
  9. [COB 2] COBHAM (A.). — Uniform tag sequences, Math. Syst. Theory, t. 6, 1972, p. 164-192. Zbl0253.02029MR56 #15230
  10. [EIL] EILENBERG (S.). — Automata, languages and machines, vol. A. — Pure and Applied Mathematics, Academic Press, New York, 1974. Zbl0317.94045MR58 #26604a
  11. [MAU] MAUDUIT (C.). — Substitutions et ensemble normaux, Habilitation à diriger des recherches, 1989, Université Aix Marseille II. 
  12. [MKA] MKAOUAR (M.). — Sur le développement en fraction continue de certaines séries formelles, Thèse de Doctorat, 1993, Université Claude Bernard Lyon I. 
  13. [M-R] MILLS (W.H.) et ROBBINS (D.P.). — Continued fractions for certain algebric power series, J. of Number Theory, t. 23, 1986, p. 388-404. Zbl0591.10021MR87k:11073
  14. [QUE] QUEFFÉLEC (M.). — Substitution dynamical systems-spectral analysis. — Lecture Notes in Mathematics 1294, Springer-Verlag, Berlin, 1987. Zbl0642.28013MR89g:54094
  15. [SHA] SHALLIT (J.O.). — Real numbers with bounded partial quotients a survey, L'Enseignement Math., t. 38, 1992, p. 151-187. Zbl0753.11006MR93g:11011
  16. [S-V] SHALLIT (J.O.) et VAN DER POORTEN (A.J.). — Folded continued fractions, J. Number Theory, t. 40, 1992, p. 237-250. Zbl0753.11005MR93a:11008

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