Volume no :12, Issue no: 2, December (2014)

DENSITIES IN NUMBER THEORY: ABEL DENSITIES OF SUBSETS AND ARITHMETIC FUNCTIONS

Author's: Noureddine Daili
Pages: [127] - [138]
Received Date: December 23, 2014
Submitted by:

Abstract

In this paper, we introduce a density in number theory for the classical geometric law of probability. We prove some results on Abel density. In the other words, we make a generalization of a process of iterations for subsets E of to positive arithmetical functions. We introduce the Abel density. Then, we study this density for the positive arithmetical functions and the subsets. Some applications are given.

Keywords

probabilistic number theory, Abel density, number theory.