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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The second central moment of additive functions


Author: Jungseob Lee
Journal: Proc. Amer. Math. Soc. 114 (1992), 887-895
MSC: Primary 11K65; Secondary 11N37
MathSciNet review: 1087465
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Abstract: We prove that the best constant in the Turán-Kubilius inequality for additive functions is 3/2 in any sufficiently large range.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1087465-5
PII: S 0002-9939(1992)1087465-5
Article copyright: © Copyright 1992 American Mathematical Society