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arXiv · 1502.01611

Measure density for set decompositions and uniform distribution

Maria Rita Iacò·Milan Paštéka·Robert F. Tichy
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Abstract

The aim of this paper is to extend the concept of measure density introduced by Buck for finite unions of arithmetic progressions, to arbitrary subsets of N defined by a given system of decompositions. This leads to a variety of new examples and to applications to uniform distribution theory.

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Maria Rita Iacò, Milan Paštéka, Robert F. Tichy. 2015-04-08. Measure density for set decompositions and uniform distribution. https://arxiv.org/abs/1502.01611

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