On the average order the number of divisors of a positive integer n, and the number of distinct prime divisors of n

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 7, Issue 2

Abstract

Let  (n) denote the number of divisors of a positive integer n, and  let  (n) is the number of distinct prime divisors of n. De Koninck and Ivic [1] have  been proved the asymptotic formula for .

Authors and Affiliations

Sattar Bbd Kirbat

Keywords

Related Articles

On Semi-Essential Subsemimodules in Multiplication Semimodules

The Semi essential subsemimodule was defined in [4]. In this paper we generalize some results of semi essential submodule to semi essential subsemimodules in multiplication semimodule.

Existence and Uniqueness of Abstract Stochastic Fractional-Order Differential Equation

In this paper, the existence and uniqueness about the solution for a class of abstract stochastic fractional-order differential equations                       &nbs...

NEW TECHINQE FOR SOLVIND FINITE LEVEL FUZZY NON-LINEAR INTEGRAL EQUATION

In this paper, non linear  finite fuzzy Volterra integral equation of the second kind is considered. The successive approximate method  will be used t o solve it, and comparing with the exact solution and calcu...

Nevanlinna Theory for the Uniqueness of Difference Polynomials and Meromorphic Functions by Sharing one Small Function

The purpose of this paper is to extend the usual Nevanlinna theory to the periodic functions, difference operators and difference polynomials  of meromorphic functions concerning their uniqueness after sharing one&n...

Some common fixed point results of three self-mappings in cone metric spaces

The aim of this paper is to present coincidence point and common fixed point results for three self mappings satisfying generalized contractive conditions.  The results presented in this paper generalize and extend...

Download PDF file
  • EP ID EP651277
  • DOI 10.24297/jam.v7i2.2591
  • Views 173
  • Downloads 0

How To Cite

Sattar Bbd Kirbat (2014). On the average order the number of divisors of a positive integer n, and the number of distinct prime divisors of n. JOURNAL OF ADVANCES IN MATHEMATICS, 7(2), 1191-1202. https://europub.co.uk/articles/-A-651277