Measure density for set decompositions and uniform distribution

2015/02/05 by Maria Rita Iacò, Iacò, Maria Rita, Milan Paštéka +3
Mathematics · #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Limits and Structures in Graph Theory #Mathematical Approximation and Integration #math.CA

paper · pdf · doi:10.48550/arxiv.1502.01611

openalex publication_date 2015/02/05 · arxiv created 2015/04/08 · arxiv updated 2015/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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