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On the differences of additive arithmetic functions

Published online by Cambridge University Press:  26 February 2010

P. D. T. A. Elliott
P. D. T. A. Elliott
Affiliation:
University of Colorado, Boulder, Colorado, U.S.A.
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Extract

An arithmetic function f(n) is said to be additive, if it satisfies the relation f(ab) = f(a) + f(b), for every pair of coprime integers a and b; and stronglya dditive if, in addition, f(pm) = f(p) for every prime-power pm.

Type
Research Article
Information
Mathematika , Volume 24 , Issue 2 , December 1977 , pp. 153 - 165
Copyright
Copyright © University College London 1977

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References

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