no. 1
Logarithmic density of a sequence of integers and density of its ratio set
Journal de théorie des nombres de Bordeaux, Volume 15 (2003) no. 1, pp. 309-318.

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.

Nous donnons des conditions suffisantes pour que l’ensemble R(A) des fractions d’un ensemble d’entiers A soit dense dans ℝ + , en termes des densités logarithmiques de A. Ces conditions diffèrent sensiblement de celles précédemment obtenues en termes des densités asymptotiques.

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     author = {Mi\v{s}{\'\i}k, Ladislav and T\'oth, J\'anos T.},
     title = {Logarithmic density of a sequence of integers and density of its ratio set},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {309--318},
     publisher = {Universit\'e Bordeaux I},
     volume = {15},
     number = {1},
     year = {2003},
     mrnumber = {2019018},
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Mišík, Ladislav; Tóth, János T. Logarithmic density of a sequence of integers and density of its ratio set. Journal de théorie des nombres de Bordeaux, Volume 15 (2003) no. 1, pp. 309-318. http://archive.numdam.org/item/JTNB_2003__15_1_309_0/

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