Displaying similar documents to “Sets of positive integers with prescribed values of densities”

On relations between f -density and ( R ) -density

Václav Kijonka (2007)

Acta Mathematica Universitatis Ostraviensis

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In this paper it is discus a relation between f -density and ( R ) -density. A generalization of Šalát’s result concerning this relation in the case of asymptotic density is proved.

Logarithmic density of a sequence of integers and density of its ratio set

Ladislav Mišík, János T. Tóth (2003)

Journal de théorie des nombres de Bordeaux

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In the paper sufficient conditions for the ( R ) -density of a set of positive integers in terms of logarithmic densities are given. They differ substantially from those derived previously in terms of asymptotic densities.