| Title:
|
Covering densities (English) |
| Author:
|
Paštéka, Milan |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
42 |
| Issue:
|
5 |
| Year:
|
1992 |
| Pages:
|
593-614 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11B05 |
| MSC:
|
11B25 |
| MSC:
|
11B50 |
| idZBL:
|
Zbl 0770.11009 |
| idMR:
|
MR1202176 |
| . |
| Date available:
|
2009-09-25T10:43:59Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133254 |
| . |
| Reference:
|
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| Reference:
|
[2] BOREL E.: Sur les probabilités dénombrables et leur applications aritmétiques., Rend. Circ. Mat. Palermo 26 (1909), 247-271. |
| Reference:
|
[3] BUCK R. C.: The measure theoretic approach to density.Amer. J. Math. 68 (1946), 560-580. Zbl 0061.07503, MR 0018196 |
| Reference:
|
[4] CANTELLI F. P.: La tendenza ad un limite nel senzo del calcolo della probability.Rend. Circ. Mat. Palermo 16 (1916), 191-201. |
| Reference:
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[5] ČECH E.: Point Sets.Academia, Praha, 1969. MR 0256344 |
| Reference:
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| Reference:
|
[7] ERDÖS P., RÉNYI A.: On Cantor's series with convergent $\sum\frac1{q_n}$., Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 2 (1959), 93-109. MR 0126414 |
| Reference:
|
[8] ERDÖS P., RÉNYI A.: Some further statistical properties of the digits in Cantor's series.Acta Math. Hungar. 10 (1959), 21-29. Zbl 0088.25804, MR 0107631 |
| Reference:
|
[9] ESTRADA T., CANVALL R.: Series that converge on sets of null density.Proc. Amer. Math. Soc. 97 (1986), 682-686. MR 0845987 |
| Reference:
|
[10] HARDY G. H., WRIGHT E. M.: An Introduction to Theory of Numbers.Fourth edition, Clarendon Press, Oxford, 1960. |
| Reference:
|
[11] HINTZMANN W.: Measure and density of sequences.Amer. Math. Monthly 73 (1966), 133-135. MR 0199170 |
| Reference:
|
[12] KINGMAN J. F. C., TAYLOR S. J.: Introduction to Measure & Probability.Cambridge University Press, Cambridge, 1977. MR 0218515 |
| Reference:
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[13] KUIPERS L., NIEDEREITER H.: Uniform Distribution of Sequences.J. Wiley, New York, 1974. MR 0419394 |
| Reference:
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[14] MAHARAM D.: Finitely additive measures on the integers.Sankhya 38 (1976), 44-59. Zbl 0383.60008, MR 0473132 |
| Reference:
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[15] MEIJER H. G.: On uniform distribution of integers and uniform distribution.mod 1, Niew Arch. Wisk. 18 (1970), 271-278. Zbl 0207.36101, MR 0285494 |
| Reference:
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[16] NAGOTA J.-L.: Modern General Topology.North-Holland Publ., Amsterdam- London, 1974. |
| Reference:
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[17] NEUBRUNN T., RIEČAN B.: Measure and Integral.(Slovak), Veda, Bratislava, 1981. Zbl 0485.28001, MR 0657765 |
| Reference:
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[18] NIVEN I.: Uniform distribution of sequences of integers.Trans. Amer. Math. Soc. 98 (1961), 52-61. Zbl 0096.03102, MR 0120214 |
| Reference:
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[19] NOVOSELOV E. V.: Topologičeskaja teorija delimosti celych čisel.Uchen. Zap. Elabuž. Ped. Inst. 8 (1960), 3-23. |
| Reference:
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[20] NOVOSELOV E. V.: Ob integrirovanii na odnom bikompaktnom koľce i ego priloženiach k teorii čisel.Izv. Vyssh. Uchebn. Zaved. Mat. 22 (1961), 66-79. |
| Reference:
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[21] OLEJČEK V.: Darboux property of finitely additive measure on σ-ring.Math. Slovaca 27 (1977), 195-201. MR 0476975 |
| Reference:
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[22] PAŠTÉKA M.: Convergence of series and submeasures of the set of positive integers.Math. Slovaca 40 (1990), 273-278. Zbl 0755.40003, MR 1094780 |
| Reference:
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[23] PAŠTÉKA M.: Some properties of Buck's measure density.Math. Slovaca 42 (1992), 15-32. Zbl 0761.11003, MR 1159488 |
| Reference:
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[24] RENYI A.: Wahrschemlichkeitrechnung.VEB Deutscher Verlag der Wissenschaften, Berlin, 1962. MR 0148088 |
| Reference:
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| . |
