Displaying similar documents to “On a problem of V. Pták”

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.

Asymptotic expansion of solutions of Laplace-Beltrami type singular operators

Maria Pliś (1995)

Studia Mathematica

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The theory of Mellin analytic functionals with unbounded carrier is developed. The generalized Mellin transform for such functionals is defined and applied to solve the Laplace-Beltrami type singular equations on a hyperbolic space. Then the asymptotic expansion of solutions is found.

On the mean values of Dedekind sums

Wenpeng Zhang (1996)

Journal de théorie des nombres de Bordeaux

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In this paper we study the asymptotic behavior of the mean value of Dedekind sums, and give a sharper asymptotic formula.