Article contents
The divisor problem for (k, r) — integers1
Published online by Cambridge University Press: 09 April 2009
Extract
Let k and r be fixed integers such that 1 < r < k. It is well-known that a positive integer is called r-free if it is not divisible by the r-th power of any integer > 1. We call a positive integer n, a (k, r)-integer, if n is of the form n = a kb, where a is a positive integer and b is a r-free integer. In the limiting case, when k becomes infinite, a (k, r)-integer becomes a r-free integer and so one might consider the (k, i) integers as generalized r-free integers.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1973
References
- 1
- Cited by