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The divisor problem for (k, r) — integers1

Published online by Cambridge University Press:  09 April 2009

M. V. Subbarao  and
D. Suryanarayana
M. V. Subbarao
Affiliation:
Department of MathematicsUniversity of AlbertaEdmonton, Canada
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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
Journal of the Australian Mathematical Society , Volume 15 , Issue 4 , June 1973 , pp. 430 - 440
Copyright
Copyright © Australian Mathematical Society 1973

References

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