English

Measure density for set decompositions and uniform distribution

Classical Analysis and ODEs 2015-04-10 v2

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.

Keywords

Cite

@article{arxiv.1502.01611,
  title  = {Measure density for set decompositions and uniform distribution},
  author = {Maria Rita Iacò and Milan Paštéka and Robert F. Tichy},
  journal= {arXiv preprint arXiv:1502.01611},
  year   = {2015}
}
R2 v1 2026-06-22T08:23:02.250Z