Some remarks on the Lüroth expansion
Czechoslovak Mathematical Journal, Tome 22 (1972) no. 2, pp. 266-271
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DOI : 10.21136/CMJ.1972.101097
Classification : 10K10
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Galambos, János. Some remarks on the Lüroth expansion. Czechoslovak Mathematical Journal, Tome 22 (1972) no. 2, pp. 266-271. doi: 10.21136/CMJ.1972.101097

[1] W. Feller: An introduction to probability theory and its apphcations. Vol. I., 2nd ed., Wiley, New York, 1957. | MR

[2] J. Galambos: The ergodic properties of the denominators in the Oppenheim expansion of real numbers into infinite series of rationals. Quart. J. Math. (Oxford) (2), 21 (1970), 177-191. | DOI | MR | Zbl

[3] J. Galambos: On the speed of convergence of the Oppenheim series. Acta Arith., 19 (1971), 335-342. | DOI | MR | Zbl

[4] L. Holzer: Zur Bestimmung des Lebesgueschen Masses linearer Punktmengen, deren Elemente durch systematische Entwicklungen gegeben sind. Sitzungsberichte Akad. der Wissensch. in Wien, Mat.-Naturwiss., 137 (1928), 421-453.

[5] H. Jager, C. deVroedt: Lüroth series and their ergodic properties. Nederl. Akad. Wet., Proc. Ser. A, 72 (1969), 31-42. | MR

[6] O. Perron: Irrationalzahlen. 2nd ed., Chelsea, New York, 1948.

[7] T. Šalát: Zur metrischen Theorie der Lürothschen Entwicklungen der reellen Zahlen. Czechosl. Math. J. 18 (93) (1968), 489-522. | MR

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