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arxiv: 1502.01611 · v2 · pith:WXDSK76Mnew · submitted 2015-02-05 · 🧮 math.CA

Measure density for set decompositions and uniform distribution

classification 🧮 math.CA
keywords decompositionsdensitydistributionmeasureuniformapplicationsarbitraryarithmetic
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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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