Article contents
On the Distance Between Consecutive Divisors of an Integer
Published online by Cambridge University Press: 20 November 2018
Abstract
Let ω(n) denote the number of distinct prime divisors of a positive integer n. Then we define and
where
are primes and r ≥ 2. Similarly denote by
the number of divisors of n and let
be defined by
where
are the divisors of n. We prove that there exists constants A and B such that
and
Keywords
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1986
References
- 3
- Cited by