English

Density measures and additive property

Number Theory 2016-09-02 v2

Abstract

We deal with finitely additive measures defined on all subsets of natural numbers which extend the asymptotic density (density measures). We consider a class of density measures which are constructed from free ultrafilters on natural numbers and study a certain additivity property of such density measures.

Keywords

Cite

@article{arxiv.1512.07382,
  title  = {Density measures and additive property},
  author = {Ryoichi Kunisada},
  journal= {arXiv preprint arXiv:1512.07382},
  year   = {2016}
}

Comments

18 pages

R2 v1 2026-06-22T12:16:30.849Z