| Title:
|
Some remarks on the Lüroth expansion (English) |
| Author:
|
Galambos, János |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
22 |
| Issue:
|
2 |
| Year:
|
1972 |
| Pages:
|
266-271 |
| . |
| Category:
|
math |
| . |
| MSC:
|
10K10 |
| idZBL:
|
Zbl 0238.10036 |
| idMR:
|
MR0302593 |
| DOI:
|
10.21136/CMJ.1972.101097 |
| . |
| Date available:
|
2008-06-09T13:56:43Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101097 |
| . |
| Reference:
|
[1] W. Feller: An introduction to probability theory and its apphcations.Vol. I., 2nd ed., Wiley, New York, 1957. MR 0088081 |
| Reference:
|
[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, MR 0258777, 10.1093/qmath/21.2.177 |
| Reference:
|
[3] J. Galambos: On the speed of convergence of the Oppenheim series.Acta Arith., 19 (1971), 335-342. Zbl 0226.10053, MR 0291095, 10.4064/aa-19-4-335-342 |
| Reference:
|
[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. |
| Reference:
|
[5] H. Jager, C. deVroedt: Lüroth series and their ergodic properties.Nederl. Akad. Wet., Proc. Ser. A, 72 (1969), 31-42. MR 0238793 |
| Reference:
|
[6] O. Perron: Irrationalzahlen.2nd ed., Chelsea, New York, 1948. |
| Reference:
|
[7] T. Šalát: Zur metrischen Theorie der Lürothschen Entwicklungen der reellen Zahlen.Czechosl. Math. J. 18 (93) (1968), 489-522. MR 0229605 |
| . |
