# Some properties of Buck's measure density

Mathematica Slovaca (1992)

- Volume: 42, Issue: 1, page 15-32
- ISSN: 0139-9918

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topPaštéka, Milan. "Some properties of Buck's measure density." Mathematica Slovaca 42.1 (1992): 15-32. <http://eudml.org/doc/31566>.

@article{Paštéka1992,

author = {Paštéka, Milan},

journal = {Mathematica Slovaca},

keywords = {sets of integers; Buck measure density; pseudorational sets; - measurable sets; rational sets; asymptotic density; outer measure},

language = {eng},

number = {1},

pages = {15-32},

publisher = {Mathematical Institute of the Slovak Academy of Sciences},

title = {Some properties of Buck's measure density},

url = {http://eudml.org/doc/31566},

volume = {42},

year = {1992},

}

TY - JOUR

AU - Paštéka, Milan

TI - Some properties of Buck's measure density

JO - Mathematica Slovaca

PY - 1992

PB - Mathematical Institute of the Slovak Academy of Sciences

VL - 42

IS - 1

SP - 15

EP - 32

LA - eng

KW - sets of integers; Buck measure density; pseudorational sets; - measurable sets; rational sets; asymptotic density; outer measure

UR - http://eudml.org/doc/31566

ER -

## References

top- BUCK R. C., The measure theoretic approach to the density, Amer. J. Math. LXVIII (1946), 560-580. (1946) MR0018196
- DIJKSMA A., MEIJER H. G., Note on uniformly distributed sequences, Nieuw Arch. Wisk. (4) XVII (1969), 210-213. (1969) Zbl0186.08701MR0257021
- HLAWKA E., Theorie der Gleichverteilung, Bibliographishes Institut, Manheim, Wien, Ztrich, 1979. (1979) Zbl0406.10001MR0542905
- KUIPERS Z., NIEDERREITER H., Uniform distribution of sequences, John Wiley et Sons, New York-London Sydney Toronto, 1974. (1974) Zbl0281.10001MR0419394
- OXTOBY J. C., Measure and Category, (Russian translation Moskva, Mir 1971), Springer, Berlin, 1971. (1971) Zbl0217.09201MR0584443
- ŠALÁT T., Cantorsche Entwicklungen der reallen Zahlen und das Hausdorffsche Mass, Publ. of the Math. Inst, of the Hung. Acad, of Sci VI (1961), 15-41. (1961) MR0147465
- PAŠTÉKA M., ŠALÁT T., Buck's measure density and sets of positive integers containing arithmetic progressions, Math. Slovaca 41 (1991), 283-293. (1991) MR1126665

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