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On the mean value of the enumeration function for multiplicative partitions

Published online by Cambridge University Press:  17 April 2009

Cao Hui-Zong  and
Ku Tung-Hsin
Cao Hui-Zong
Affiliation:
Department of Mathematics, Shandong University, Jinan Shandong, China
Ku Tung-Hsin
Affiliation:
The Hefei Branch of Combinatorial Maths, Academia Sinica, Hefei Anhui, China
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Let g(n) denote the number of multiplicative partitions of the natural number n. We prove that

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 41 , Issue 3 , June 1990 , pp. 407 - 410
Copyright
Copyright © Australian Mathematical Society 1990

References

[1]de Bruijn, N.G., ‘On the number of positive integers ≤ x and free of prime factors > y’, Indag. Math. 13 (1951), 50–60.CrossRefGoogle Scholar
[2]Xiao-Xia, Chen, ‘On multiplicative partitions of natural number’, Acta Math. Sinica 30 (1987), 268–271.Google Scholar
[3]Hughes, John F. and Shallit, J.O., ‘On the number of multiplicative partitions’, Amer. Math. Monthly 90 (1983), 468–471.Google Scholar
[4]Titchmarsh, E.C., The theory of the Riemann Zeta–Function (OUP, 1951).Google Scholar