Density measures and additive property

2015/12/23 by Kunisada, Ryoichi
#11B05 #46E27 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1512.07382

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.

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