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Identities for Multiplicative Functions

Published online by Cambridge University Press:  20 November 2018

M. V. Subbarao  and
A. A. Gioia
M. V. Subbarao
Affiliation:
University of Alberta, University of Kerala and Texas Technological College
A. A. Gioia
Affiliation:
University of Alberta, University of Kerala and Texas Technological College
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Throughout this paper the arithmetic functions L(n) and w(n) denote respectively the number and product of the distinct prime divisors of the integer n > 1, with L(1) = 0 and w(1) = 1. Also let

We recall that an arithmetic function f(n) is said to be multiplicative if f(1) = 1 and f(mn) = f(m)f(n) whenever (m, n) = 1, where (m, n) denotes as usual the greatest common divisor of m and n.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 10 , Issue 1 , April 1967 , pp. 65 - 73
Copyright
Copyright © Canadian Mathematical Society 1967

Footnotes

1

Partially supported by National Science Foundation Grant No. GP 1222.

2

This author's contribution formed a part of his Ph.D. thesis submitted to the University of Missouri in January, 1964.

References

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