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On Hausdorff Dimensions Related to Sets with Given Asymptotic and Gap Densities Cover

On Hausdorff Dimensions Related to Sets with Given Asymptotic and Gap Densities

Uniform distribution theory
Volume 11 (2016): Issue 1 (June 2016)
By: Ladislav Mišík,  Jan Šustek and  Bodo Volkmann  
Open Access
|Jan 2017

References

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  2. [2] GREKOS, G.—VOLKMANN, B.: On densities and gaps. Journal of Number Theory 26 (1987), 129–148.
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  3. [3] VOLKMANN, B.: Über Klassen von Mengen natürlicher Zahlen. J. Reine Angew.Math. 190 (1952), 199–230.
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  4. [4] VOLKMANN, B.: Über Hausdorffsche Dimensionen von Mengen, die durch Zifferneigenschaften charakterisiert sind I. Math. Zeits. 58 (1953), 284–287.
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DOI: https://doi.org/10.1515/udt-2016-0007 | Journal eISSN: 2309-5377 | Journal ISSN: 1336-913X
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Language: English
Page range: 141 - 157
Submitted on: Jul 20, 2012
Accepted on: Apr 10, 2015
Published on: Jan 13, 2017
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
Sequences of integers,
lower asymptotic density,
upper asymptotic density,
gap density,
Hausdorff dimension
Related subjects:
Mathematics,
Algebra and number theory,
Discrete mathematics,
Probability and statistics,
Numerical and computational mathematics

© 2017 Ladislav Mišík, Jan Šustek, Bodo Volkmann, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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