Geodesic
A summation method for multiplicative functions
Izvestiya. Mathematics , Tome 1 (1967) no. 3, pp. 677-690.

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An elementary method is advanced for studying the asymptotic behavior of sums of multiplicative functions. 
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B. V. Levin; A. S. Fainleib. A summation method for multiplicative functions. Izvestiya. Mathematics , Tome 1 (1967) no. 3, pp. 677-690. http://geodesic.mathdoc.fr/item/IM2_1967_1_3_a9/

[1] Kubilyus I. P., Veroyatnostnye metody v teorii chisel, Vilnyus, 1962 | Zbl

[2] Delange H., “Sur les functions arithmetiques multiplicatives”, Ann. Sci. Ecole Norm., 78 (1961), 273–304 | MR | Zbl

[3] Wirsing E., “Über die Zahlen, deren Primteiler einer gegebenen Menge angehören”, Arch. Math., 7 (1956), 263–272 | DOI | MR | Zbl

[4] Wirsing E., “Das asymptotische Verhalten von Summen über multiplikative Funktionen”, Math. Ann., 143 (1961), 75–102 | DOI | MR | Zbl

[5] Renyi A., “A new proof of a theorem of Delange”, Publ. Math., 12 (1965), 323–329 | MR | Zbl

[6] Levin B. V., Fainleib A. S., “Primenenie nekotorykh integralnykh uravnenii k voprosam teorii chisel”, Uspekhi matem. nauk, 22:3 (1967), 119–197 | MR | Zbl

[7] Rankin R. Y., “The difference between consecutive prime numbers”, J. London math. Soc., 13 (1938), 242–247 | DOI | Zbl