Elliott, P. D. T. A. Probabilistic number theory. I: Mean-value theorems. (English) Zbl 0431.10029 Grundlehren der mathematischen Wissenschaften. 239. New York, Heidelberg, Berlin: Springer-Verlag. XXII, 393 p. DM 70.00; $ 38.50 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 12 ReviewsCited in 119 Documents MSC: 11K65 Arithmetic functions in probabilistic number theory 11-02 Research exposition (monographs, survey articles) pertaining to number theory 60-02 Research exposition (monographs, survey articles) pertaining to probability theory 11N37 Asymptotic results on arithmetic functions 60F99 Limit theorems in probability theory Keywords:additive functions; multiplicative functions; distribution of additive functions; mean value of arithmetical functions; central limit theorems; probabilistic number theory Citations:Zbl 0022.21003; Zbl 0092.044; Zbl 0127.274; Zbl 0133.302 PDF BibTeX XML OpenURL