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Characterization of uniformly distributed sets and maximal density sets

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Abstract We consider different kinds of densities on natural numbers and investigate the problems on densities stated in the paper “Open problems on densities II” by Giuliano, Grekos and Misik.… Click to show full abstract

Abstract We consider different kinds of densities on natural numbers and investigate the problems on densities stated in the paper “Open problems on densities II” by Giuliano, Grekos and Misik. We find answers to several of those problems and obtain new results related to the notions mentioned in that paper like distribution functions and density sets.

Keywords: uniformly distributed; density; characterization uniformly; distributed sets; sets maximal; density sets

Journal Title: Journal of Number Theory
Year Published: 2017

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