Volume no :16, Issue no: 1, September (2016)

Journal of Algebra, Number Theory: Advances and Applications

BORELIAN DENSITIES IN NUMBER THEORY: BORELIAN DENSITIES OF ARITHMETICAL FUNCTIONS

Author's: Noureddine Daili
Pages: [41] - [49]
Received Date: September 30, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100121728

Abstract

In this work, in consideration of the classical Poisson probabilistic law, we introduce Borelian density of arithmetical function and make comparative study of this density with others. These results represent a generalization of results of ([1]). Further, we provide certain criteria and also the applications of this newly proposed density.

Keywords

probabilistic law, density, arithmetical function, number theory.