| Title:
|
Buck's measure density and sets of positive integers containing arithmetic progression (English) |
| Author:
|
Paštéka, Milan |
| Author:
|
Šalát, Tibor |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
41 |
| Issue:
|
3 |
| Year:
|
1991 |
| Pages:
|
283-293 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11B05 |
| MSC:
|
11B83 |
| MSC:
|
28E99 |
| idZBL:
|
Zbl 0761.11004 |
| idMR:
|
MR1126665 |
| . |
| Date available:
|
2009-09-25T10:32:17Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136532 |
| . |
| Reference:
|
[1] BUCK R. C.: The measure theoretic approach to density.Amer. J. Math. LXVIII (1946), 560-580. Zbl 0061.07503, MR 0018196 |
| Reference:
|
[2] DINCULEANU N.: Vector Measures.VEB Deutscher Verlag der Wissen, Berlin, 1966 Zbl 0647.60062, MR 0206189 |
| Reference:
|
[3] ERDÖS P., NATHANSON M. B., SÁRKÖZY A.: Sumsets containing infinite arithmetic progressions.J. Number Theory 28 (1988), 159-166. Zbl 0633.10047, MR 0927657 |
| Reference:
|
[4] HARDY G. H., WRIGHT E. M.: An Introduction to the Theory of Numbers.3rd ed., Oxford, 1954. Zbl 0058.03301, MR 0067125 |
| Reference:
|
[5] MAHARAM D.: Finitely additive measures on the integers.Sankhya: The Indian J, Stat. Ser. A 38 (1976), 44-59. Zbl 0383.60008, MR 0473132 |
| Reference:
|
[6] PAŠTÉKA M.: Some properties of Buck's measure density.(To appear.). Zbl 0761.11003 |
| Reference:
|
[7] SIERPIŃSKI W.: Elementary Theory of Numbers.PWN, Warszawa, 1964. Zbl 0122.04402, MR 0175840 |
| Reference:
|
[8] SIKORSKI R.: Funkcje rzeczywiste I.PWN, Warszawa, 1958. MR 0105468 |
| Reference:
|
[9] SZEMEREDI E.: On sets of integers containing no k elements in arithmetic progression.Acta Arithm. 27 (1975), 199-245. MR 0369312 |
| . |
