| Title:
|
On distribution of sequences of integers (English) |
| Author:
|
Paštéka, Milan |
| Author:
|
Porubský, Štefan |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
43 |
| Issue:
|
5 |
| Year:
|
1993 |
| Pages:
|
521-539 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11K06 |
| idZBL:
|
Zbl 0803.11038 |
| idMR:
|
MR1273709 |
| . |
| Date available:
|
2009-09-25T10:51:46Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136589 |
| . |
| Reference:
|
[1] BUCK R. C.: The measure theoretical approach to the density.Amer. J. Math. LXVIII (1946), 560-580. MR 0018196 |
| Reference:
|
[2] JACOBS K.: Measure and Integral.Academic Press, New York-San Francisco-London, 1987. MR 0514702 |
| Reference:
|
[3] KUIPERS L.-NIEDERREITER H.: Uniform Distribution of Sequences.J.Wiley & Sons, New York-London-Sydney-Toronto, 1974. Zbl 0281.10001, MR 0419394 |
| Reference:
|
[4] MEIJER H. G.: The discrepancy of g-adic sequence.Indag. Math. 30 (1968), 54-66. MR 0228450 |
| Reference:
|
[5] MEIJER H. G.: Uniform distribution of g-adic numbers.Indag. Math. 29 (1967), 535-546. Zbl 0207.05802, MR 0220682 |
| Reference:
|
[6] NIVEN I.: Uniform distribution of sequences of integers.Trans. Amer. Math. Soc. 98 (1961), 52-61. Zbl 0096.03102, MR 0120214 |
| Reference:
|
[7] NOVOSELOV E. V.: Topological theory of divisibility.(Russian), Uchen. Zap. Elabuz. PI 8 (1960), 3-23. |
| Reference:
|
[8] PAŠTÉKA M., ŠALÁT T.: Buck's measure density and sets of positive integers containing arithmetic progression.Math. Slovaca 41 (1991), 283-293. Zbl 0761.11004, MR 1126665 |
| Reference:
|
[9] POSTNIKOV A. G.: Introduction to Analytic Number Theory.(Translated from the Russian by G. A. Kandel), Amer. Math. Soc., Providence, R.I., 1988. Zbl 0641.10001, MR 0932727 |
| Reference:
|
[10] PRUFER H.: Neue Begrüdung der algebraischen Zahlentheorie.Math. Ann. 94 (1925), 198-243. MR 1512254 |
| Reference:
|
[11] SCHOENBERG, I: Über die asymptotische Verteilung reeler Zahlen mod 1.Math. Z. 28 (1928), 171-199. MR 1544950 |
| Reference:
|
[12] WEYL H.: Über die Gleichverteilung von Zahlen mod.Eins, Math. Ann. 77 (1916), 313-352. MR 1511862 |
| . |
