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arXiv 2015-02-05 0 views

Measure density for set decompositions and uniform distribution

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

Original · EN

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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