JP Journal of Algebra, Number Theory and Applications
Volume 32, Issue 2, Pages 79 - 86
(March 2014)
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A NOTE ON MORE RAPID CONVERGENCE TO A DENSITY
József Bukor, János T. Tóth and László Zsilinszky
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Abstract: The aim of this paper is to answer an open problem proposed by Giuliano et al. [3]. A set Aof positive integers is constructed with the following properties:
(a) A has asymptotic density d and therefore logarithmic density d,
(b) the sequence does not tend to 0 on the mean more rapidly than the sequence |
Keywords and phrases: asymptotic density, logarithmic density, weighted density. |
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