On Small Sets of Distribution Functions of Ratio Block Sequences
Abstract
There are various methods how to describe and characterize distribution of elements of sets of positive integers. One of the most interesting is that using the set of all distribution functions of the corresponding ratio block sequence introduced in [Strauch, O.—Tóth, J.T.: Publ. Math. Debrecen 58 (2001), no. 4, 751–778]. In the present paper we give some sufficient conditions under which this set is small in a metric sense. As a corollary we obtain a new characterization of the case of asymptotic distribution.
Language: English
Page range: 165 - 174
Submitted on: Jan 14, 2016
Accepted on: Apr 7, 2016
Published on: Jan 13, 2017
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Related subjects:
© 2017 David Krčmarský, Ladislav Mišík, Zuzana Václavíková, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.