Automates et fractions continues

Dominique Barbolosi

Journal de théorie des nombres de Bordeaux (1993)

  • Volume: 5, Issue: 1, page 1-22
  • ISSN: 1246-7405

How to cite

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Barbolosi, Dominique. "Automates et fractions continues." Journal de théorie des nombres de Bordeaux 5.1 (1993): 1-22. <http://eudml.org/doc/93574>.

@article{Barbolosi1993,
author = {Barbolosi, Dominique},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {automaton; continued fraction expansions; real numbers},
language = {fre},
number = {1},
pages = {1-22},
publisher = {Université Bordeaux I},
title = {Automates et fractions continues},
url = {http://eudml.org/doc/93574},
volume = {5},
year = {1993},
}

TY - JOUR
AU - Barbolosi, Dominique
TI - Automates et fractions continues
JO - Journal de théorie des nombres de Bordeaux
PY - 1993
PB - Université Bordeaux I
VL - 5
IS - 1
SP - 1
EP - 22
LA - fre
KW - automaton; continued fraction expansions; real numbers
UR - http://eudml.org/doc/93574
ER -

References

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  1. [1] D. Barbolosi, Fractions continues à quotients partiels impairs, propriétés arithmétiques et ergodiques, Thèse, Université de Provence, (janvier 1988). Zbl0713.11052
  2. [2] A. Hurwitz, Über eine besondere Art der Kettenbruchentwicklung reeller Grössen, Acta Math.12 (1889), 367-405. JFM21.0188.01
  3. [3] C. Kraaikamp, Metric and Arithmetic Results for Continued Fraction Expansions, Thèse, Université d'Amsterdam, (avril 1990), (page 157). 
  4. [4] J.-L. Lagrange, Addition au mémoire sur la résolution des équations numériques, Mem. Ber.(= Oeuvres, II) 24 (1970). 
  5. [5] G.J. Rieger, Über die Länge von Kettenbrüche mit ungeraden Teilnennern, Abh. Braunschweig. Wiss. Ges.32 (1981), 61-69. Zbl0479.10007MR653194
  6. [6] G.J. Rieger, Ein Heilbronn-Satz für Kettenbrüchen mit ungeraden Teilnennern, Math. Nachr.101 (1981), 295-307. Zbl0481.10032MR638347
  7. [7] G.J. Rieger, On the metrical theory of continued fraction with odd partial quotients. Topics in classical number theory, I, II, (Budapest 1981), Colloq. Math. Soc. Janos Bolyai, (North Holland) 34 (1984), 1371-1418. Zbl0549.10039MR781189
  8. [8] F. Schweiger, Continued fractions with odd and even partial quotients, Arbeitsbericht Math. Instit. der Un. Salzburg4 (1982), 59-70. 
  9. [9] F. Schweiger, A theorem of Kuzmin-Levy type for continued fractions with odd partial quotients, Arbeitsbericht Math. Instit. der Un. Salzburg4 (1982), 45-50. Zbl0506.10038
  10. [10] F. Schweiger, On the approximation by continued fractions with odd and even partial quotients, Mathematisches Institut Salzburg, Arbeitsbericht 1-2 (1984), 105-114. 
  11. [11] O. Perron, Die Lehre von den Kettenbrüchen, Chelsea Publ. Comp., New-York, 1929. Zbl55.0262.09MR37384JFM55.0262.09

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