Vol. 48, No. 1, 1973

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On additive functions whose limiting distributions possess a finite mean and variance

P. D. T. A. Elliott

Vol. 48 (1973), No. 1, 47–55
Abstract

In this paper two characterizations are given of those additive arithmetic functions which possess a limiting distribution with a finite mean and variance. It turns out that the study of such functions fits naturally within the framework of the theory of Lambert series.

Mathematical Subject Classification
Primary: 10K20
Milestones
Received: 22 May 1972
Published: 1 September 1973
Authors
P. D. T. A. Elliott