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Asymptotic behavior of multiplicative functions. (English) Zbl 0392.10038


MSC:

11N37 Asymptotic results on arithmetic functions
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References:

[1] Dixon, R. D., On a generalized divisor problem, J. Indian Math. Soc., 28, 187-196 (1964), (1965) · Zbl 0131.04602
[2] Halasz, G., Über die Mittelwerte multiplikativer zahlentheoretischer Funktionen, Acta Math. Acad. Sci. Hungar., 19, 365-403 (1968) · Zbl 0165.05804
[3] Karamata, J., Sur un mode de croissance régulière des fonctions, Math. (Cluj), 4, 38-53 (1930) · JFM 56.0907.01
[4] Kohlbecker, E. E., Weak asymptotic properties of partitions, Trans. Amer. Math. Soc., 88, 349 (1958) · Zbl 0173.04203
[5] Levin, B. V.; Timofeev, N. M., Sums of multiplicative functions, Dokl. Akad. Nauk. SSSR, 193, 992-995 (1970) · Zbl 0217.32001
[6] Rademacher, H., (Topics in Analytic Number Theory (1973), Springer-Verlag: Springer-Verlag New York), 46
[7] Rudin, W., (Real and Complex Analysis (1966), McGraw-Hill: McGraw-Hill New York), 189
[8] Seneta, E., (Regularly Varying Functions (1976), Springer-Verlag: Springer-Verlag New York), Lecture Notes in Mathematics No. 508 · Zbl 0304.60048
[9] Tulijagonova, M. I., A certain extension of a theorem of Halasz, Izv. Akad. Nauk. USSR Ser. Fiz.-Mat. Nauk, 14, No. 5, 35-40 (1970)
[10] Tull, J. P., Dirichlet multiplication in lattice point problems, II, Pacific J. Math., 9, 609-615 (1959) · Zbl 0107.26903
[11] Wirsing, E., Das asymptotische Verhalten von Summen über multiplikativer Funktionen, II, Acta Math. Acad. Sci. Hungar., 18, 411-467 (1967) · Zbl 0165.05901
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