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On the limiting distribution of additive arithmetic functions. (English) Zbl 0287.10046


MSC:

11K65 Arithmetic functions in probabilistic number theory
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[1] van Aardenne-Ehrenfest, T., de Bruijn, N. G. &Korevaar, J., A note on slowly ascillating functions.Nieuw. Arch. Wisk., 23 (1949), 57–66. · Zbl 0045.33503
[2] Elliott, P. D. T. A., On the law of large numbers for additive functions.Proceedings of the 1972 St. Louis conference on Analytic Number Theory, Amer. Math. Soc. Publ., no 24, 90–95.
[3] Erdös, P. &Kac, M., The Gaussian law of errors in the theory of additive number-theoretic functions.Amer. J. Math., 62 (1940), 738–742. · JFM 66.0172.02 · doi:10.2307/2371483
[4] Gnedenko, B. V. &Kolmogorov, A. N.,Limit distributions for sums of independent random variables. Addison-Wesley, Reading (1954). · Zbl 0056.36001
[5] Kubilius, J.,Probabilistic Methods in the Theory of Numbers. Amer. Math. Soc. Translations, Vol. 11 (1964). · Zbl 0133.30203
[6] Titchmarsh, E. C.,The Theory of Functions. Oxford University Press, corrected second edition, (1952). · Zbl 0049.18603
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