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Additive arithmetic functions on intervals

Published online by Cambridge University Press:  24 October 2008

P. D. T. A. Elliott
P. D. T. A. Elliott
Affiliation:
Department of Mathematics, University of Colorado, Boulder, CO 80309, U.S.A.
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Extract

§1. A real-valued arithmetic function f is additive if it satisfies the relation f(ab) = f(a) + f(b) for all mutually prime positive integers a, b. In the present paper I establish three theorems concerning the value distribution of such functions on intervals.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 103 , Issue 1 , January 1988 , pp. 163 - 179
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

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