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

DOI:

https://doi.org/10.24297/jam.v7i2.2591

Keywords:

multiplicate function, the number of divisors of a positive integer n, the number of distinct prime divisors of n, Mean value, Asymptotic formula.

Abstract

Let  t.jpg(n) denote the number of divisors of a positive integer n, and  let  w_1.jpg(n) is the number of distinct prime divisors of n. De Koninck and Ivic [1] have  been proved the asymptotic formula for x.jpg.

w2.jpg

Downloads

Download data is not yet available.

Downloads

Published

2014-03-20

How to Cite

On the average order the number of divisors of a positive integer n, and the number of distinct prime divisors of n. (2014). JOURNAL OF ADVANCES IN MATHEMATICS, 7(2), 1191–1202. https://doi.org/10.24297/jam.v7i2.2591

Issue

Section

Articles