Article ID Journal Published Year Pages File Type
4594984 Journal of Number Theory 2008 8 Pages PDF
Abstract

We will deal with finitely additive measures on integers extending the asymptotic density. We will study their relation to the Lévy group G of permutations of N. Using a new characterization of the Lévy group G we will prove that a finitely additive measure extends density if and only if it is G-invariant.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory