Asymptotic densities of sets of positive integers

Tibor Šalát; Robert Tijdeman

Mathematica Slovaca (1983)

  • Volume: 33, Issue: 2, page 199-207
  • ISSN: 0232-0525

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Šalát, Tibor, and Tijdeman, Robert. "Asymptotic densities of sets of positive integers." Mathematica Slovaca 33.2 (1983): 199-207. <http://eudml.org/doc/34161>.

@article{Šalát1983,
author = {Šalát, Tibor, Tijdeman, Robert},
journal = {Mathematica Slovaca},
keywords = {asymptotic densities; sets of positive integers; density measures},
language = {eng},
number = {2},
pages = {199-207},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Asymptotic densities of sets of positive integers},
url = {http://eudml.org/doc/34161},
volume = {33},
year = {1983},
}

TY - JOUR
AU - Šalát, Tibor
AU - Tijdeman, Robert
TI - Asymptotic densities of sets of positive integers
JO - Mathematica Slovaca
PY - 1983
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 33
IS - 2
SP - 199
EP - 207
LA - eng
KW - asymptotic densities; sets of positive integers; density measures
UR - http://eudml.org/doc/34161
ER -

References

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  1. BANACH S., Théorie des opérations linéaires, Warszawa 1932. (1932) Zbl0005.20901
  2. BUCK R. C., The measure theoretic approach to density, Amer. J. Math. 68, 1946, 560-580. (1946) Zbl0061.07503MR0018196
  3. BUCK R. C, Generalized asymptotic density, Amer. J. Math. 75, 1953, 335-346. (1953) Zbl0050.05901MR0054000
  4. DEAL R. B., Problem 4 999, Amer. Math. Monthly 68, 1961, 1010. Solution in Amer. Math. Monthly 70, 1963, 218-219. (1961) MR1531478
  5. GREKOS G., Répartition des densités des sous-suites d'une suite d'entiers, J. Number Theory 10, 1978, 177-191. (1978) Zbl0388.10033MR0506142
  6. KURATOWSKI C., Topologie I, PWN, Warszawa 1958. (1958) 
  7. MAHARAM D., The representation of abstract integrals, Trans. Amer. Math. Soc. 75, 1953, 154-184. (1953) Zbl0051.29203MR0055421
  8. MAHARAM D., Finitely additive measures on the integers, Sankhya: Indian J. Stat. 38 A, 1976, 44-59. (1976) Zbl0383.60008MR0473132
  9. NIVEN I., Irrational Numbers, Wiley, New York 1956. (1956) Zbl0070.27101MR0080123
  10. OSTMANN H. H., Additive Zahlentheorie I, Springer-Verlag, Berlin-Göttingen-Heidelberg 1956. (1956) Zbl0072.03101MR0098721
  11. ŠALÁT T., A remark on normal numbers, Rev. Roum. Math. Pures et Appl. XI, 1966, 53-56. (1966) Zbl0178.38001MR0201386

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