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April 2020 Sets with countably infinitely many prescribed weighted densities
József Bukor, Ferdinánd Filip, János T. Tóth
Rocky Mountain J. Math. 50(2): 467-477 (April 2020). DOI: 10.1216/rmj.2020.50.467

Abstract

It is known that there exist classes of sets of positive integers which provide arbitrary given values as lower and upper logarithmic and asymptotic densities. The only restriction is the inequality between these densities. We generalize this result for a sequence of weighted densities, i.e., for countably infinitely many weighted densities.

Citation

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József Bukor. Ferdinánd Filip. János T. Tóth. "Sets with countably infinitely many prescribed weighted densities." Rocky Mountain J. Math. 50 (2) 467 - 477, April 2020. https://doi.org/10.1216/rmj.2020.50.467

Information

Received: 17 July 2019; Revised: 11 October 2019; Accepted: 11 October 2019; Published: April 2020
First available in Project Euclid: 29 May 2020

zbMATH: 07210972
MathSciNet: MR4104387
Digital Object Identifier: 10.1216/rmj.2020.50.467

Subjects:
Primary: 11B05

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.50 • No. 2 • April 2020
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