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On the multiplicative
properties of arithmetic functions
Donald Goldsmith |
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Vol. 27 (1968), No. 2, 283–304
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Abstract |
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In this paper we define a generalization of the set ℳ of all pairs of relatively prime natural numbers and then define a limit process to measure the multiplicativity of an arithmetic function with respect to this generalized set of pairs. In so doing we gain useful information about that most important special case, namely, functions which are multiplicative in the usual sense. |
Mathematical Subject Classification
Primary: 10.07
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Milestones
Received: 5 January 1967
Revised: 5 May 1967
Published: 1 November 1968
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Authors |
| Donald Goldsmith | |
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