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Remarks on an Arithmetic Derivative

Published online by Cambridge University Press:  20 November 2018

E. J. Barbeau
E. J. Barbeau*
Affiliation:
University of Toronto
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Let D(n) denote a function of an integral variable n ≥ 0 such that

  1. (1) D(1) = D(0) = 0

  2. (2) D(p) = 1 for every prime p

  3. (3) D(n1n2) = n1D(n2) + n2D(n1) for every pair of non-negative integers n1, n2.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 4 , Issue 2 , May 1961 , pp. 117 - 122
Copyright
Copyright © Canadian Mathematical Society 1961

References

1. Hardy, G. H. and Wright, E. M., Introduction to the Theory of Numbers, 4th edition, (Oxford, 1960).Google Scholar