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Galambos, Janos

Some remarks on the Lüroth expansion. (English) Zbl 0238.10036

Czech. Math. J. 22(97), 266-271 (1972).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0238.10036

Cited in 5 Documents

MSC:

11B83 Special sequences and polynomials
11K16 Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc.
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References:

[1] W. Feller: An introduction to probability theory and its apphcations. Vol. I., 2nd, Wiley, New York, 1957. · Zbl 0077.12201
[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. · Zbl 0198.38104 · doi:10.1093/qmath/21.2.177
[3] J. Galambos: On the speed of convergence of the Oppenheim series. Acta Arith., 19 (1971), 335-342. · Zbl 0226.10053
[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. · JFM 54.0289.04
[5] H. Jager, C. deVroedt: Lüroth series and their ergodic properties. Nederl. Akad. Wet., Proc. Ser. A, 72 (1969), 31-42. · Zbl 0167.32201
[6] O. Perron: Irrationalzahlen. 2nd, Chelsea, New York, 1948. · JFM 65.0192.02
[7] T. Šalát: Zur metrischen Theorie der Lürothschen Entwicklungen der reellen Zahlen. Czechosl. Math. J. 18 (93) (1968), 489-522. · Zbl 0162.34703
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