Automates et fractions continues
Journal de Théorie des Nombres de Bordeaux, Volume 5 (1993) no. 1, pp. 1-22. 
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Dominique Barbolosi. Automates et fractions continues. Journal de Théorie des Nombres de Bordeaux, Volume 5 (1993) no. 1, pp. 1-22. doi : 10.5802/jtnb.76. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.76/

[1] D. Barbolosi, Fractions continues à quotients partiels impairs, propriétés arithmétiques et ergodiques, Thèse, Université de Provence, (janvier 1988).

[2] A. Hurwitz, Über eine besondere Art der Kettenbruchentwicklung reeller Grössen, Acta Math. 12 (1889), 367-405. | JFM: 21.0188.01

[3] C. Kraaikamp, Metric and Arithmetic Results for Continued Fraction Expansions, Thèse, Université d'Amsterdam, (avril 1990), (page 157).

[4] J.-L. Lagrange, Addition au mémoire sur la résolution des équations numériques, Mem. Ber.(= Oeuvres, II) 24 (1970).

[5] G.J. Rieger, Über die Länge von Kettenbrüche mit ungeraden Teilnennern, Abh. Braunschweig. Wiss. Ges. 32 (1981), 61-69. | MR: 653194 | Zbl: 0479.10007

[6] G.J. Rieger, Ein Heilbronn-Satz für Kettenbrüchen mit ungeraden Teilnennern, Math. Nachr. 101 (1981), 295-307. | MR: 638347 | Zbl: 0481.10032

[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. | MR: 781189 | Zbl: 0549.10039

[8] F. Schweiger, Continued fractions with odd and even partial quotients, Arbeitsbericht Math. Instit. der Un. Salzburg 4 (1982), 59-70.

[9] F. Schweiger, A theorem of Kuzmin-Levy type for continued fractions with odd partial quotients, Arbeitsbericht Math. Instit. der Un. Salzburg 4 (1982), 45-50. | Zbl: 0506.10038

[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] O. Perron, Die Lehre von den Kettenbrüchen, Chelsea Publ. Comp., New-York, 1929. | JFM: 55.0262.09 | MR: 37384

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