| Title:
|
Asymptotic densities of sets of positive integers (English) |
| Author:
|
Šalát, Tibor |
| Author:
|
Tijdeman, Robert |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
33 |
| Issue:
|
2 |
| Year:
|
1983 |
| Pages:
|
199-207 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11B05 |
| MSC:
|
11B83 |
| MSC:
|
11K55 |
| idZBL:
|
Zbl 0516.10052 |
| idMR:
|
MR699090 |
| . |
| Date available:
|
2009-09-25T09:30:12Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136331 |
| . |
| Reference:
|
[1] BANACH S.: Théorie des opérations linéaires.Warszawa 1932. Zbl 0005.20901 |
| Reference:
|
[2] BUCK R. C.: The measure theoretic approach to density.Amer. J. Math. 68, 1946, 560-580. Zbl 0061.07503, MR 0018196 |
| Reference:
|
[3] BUCK R. C: Generalized asymptotic density.Amer. J. Math. 75, 1953, 335-346. Zbl 0050.05901, MR 0054000 |
| Reference:
|
[4] DEAL R. B.: Problem 4 999.Amer. Math. Monthly 68, 1961, 1010. Solution in Amer. Math. Monthly 70, 1963, 218-219. MR 1531478 |
| Reference:
|
[5] GREKOS G.: Répartition des densités des sous-suites d'une suite d'entiers.J. Number Theory 10, 1978, 177-191. Zbl 0388.10033, MR 0506142 |
| Reference:
|
[6] KURATOWSKI C.: Topologie I.PWN, Warszawa 1958. |
| Reference:
|
[7] MAHARAM D.: The representation of abstract integrals.Trans. Amer. Math. Soc. 75, 1953, 154-184. Zbl 0051.29203, MR 0055421 |
| Reference:
|
[8] MAHARAM D.: Finitely additive measures on the integers.Sankhya: Indian J. Stat. 38 A, 1976, 44-59. Zbl 0383.60008, MR 0473132 |
| Reference:
|
[9] NIVEN I.: Irrational Numbers.Wiley, New York 1956. Zbl 0070.27101, MR 0080123 |
| Reference:
|
[10] OSTMANN H. H.: Additive Zahlentheorie I.Springer-Verlag, Berlin-Göttingen-Heidelberg 1956. Zbl 0072.03101, MR 0098721 |
| Reference:
|
[11] ŠALÁT T.: A remark on normal numbers.Rev. Roum. Math. Pures et Appl. XI, 1966, 53-56. Zbl 0178.38001, MR 0201386 |
| . |
