De Koninck, Jean-Marie; Ivić, Aleksandar Topics in arithmetical functions. (English) Zbl 0442.10032 North-Holland Mathematics Studies 43. Notas de Matematica. 72. Amsterdam, New York, Oxford: North-Holland Publishing Company. xvii, 262 p. $ 39.00; Dfl. 80.00 (1980). Reviewer: Jack P. Tull (Columbus, OH) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 18 ReviewsCited in 7 Documents MSC: 11N37 Asymptotic results on arithmetic functions 11K65 Arithmetic functions in probabilistic number theory 11-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory 11N56 Rate of growth of arithmetic functions 11N60 Distribution functions associated with additive and positive multiplicative functions 11N64 Other results on the distribution of values or the characterization of arithmetic functions Keywords:arithmetical functions; reciprocals of additive functions; multiplicative functions; estimates on arithmetic means; quotients of additive functions; Euler’s totient; convolution method; number of factorizations; number of distinct abelian groups PDF BibTeX XML OpenURL