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Sum functions of k-ary and semi-k-ary divisors

Published online by Cambridge University Press:  09 April 2009

D. Suryanarayana
Affiliation:
Department of Mathematics Andhra University Waltair, India
V. Siva Rama Prasad
Affiliation:
Department of Mathematics A. M. Jain CollegeMeenambakkam Madras-61, India
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Extract

It is known that a divisor d>0 of the positive integer n is called unitary [3;§ 1] if dδ = n and (d, δ) = 1, where (d, δ) denotes the g.c.d. of d and δ. We write d¶. Let k be a fixed positive integer. A positve integer n is called k-free if n is not divisible by the kth power of any prime.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1973

References

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