Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4594984 | Journal of Number Theory | 2008 | 8 Pages |
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