Literature Cited
I. Kubilius, “Probability methods in the theory of the distribution of arithmetic functions,” Current Problems of Analytic Number Theory [in Russian] (1973), pp. 81–118.
B. V. Levin, N. M. Timofeev, and S. T. Tulyaganov, “Distribution of the values of multiplicative functions,” Liet. Matem. Rink.,13, No. 1, 87–100 (1973).
G. H. Hardy, Divergent Series, Oxford Univ. Press (1949).
H. Ostmann, Additive Zahlentheorie,11, Erg. Math., Noll. Berlin, Göttingen, Heidelberg, Springer-Verlag (1956).
C. Ryavec, “A characterization of finitely distributed additive functions,” J. Number Theory, 2(4), 393–403 (1970).
P. D. T. A. Elliott, “On additive functions whose limiting distributions possess a finite mean and variance,” Pacific J. Math.,48, 47–55 (1973).
A. Bakštis, “Limiting laws of the distribution of multiplicative arithmetic functions (III),” Liet. Matem. Rink.,8, No. 4, 643–680 (1968).
Additional information
V. Kapsukas State University, Vilnius. Translated from Lietuvos Matematikos Rinkinys, (Litovskii Matematicheskii Sbornik), Vol. 16, No. 2, pp. 121–129, April–June, 1976.
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Laurinčikas, A. The limiting distribution of the values of multiplicative functions. Lith Math J 16, 229–235 (1976). https://doi.org/10.1007/BF00969073
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DOI: https://doi.org/10.1007/BF00969073