Matsumoto, Kohji Asymptotic probability measures of Euler products. (English) Zbl 0797.11068 Bombieri, E. (ed.) et al., Proceedings of the Amalfi conference on analytic number theory, held at Maiori, Amalfi, Italy, from 25 to 29 September, 1989. Salerno: Universitá di Salerno, 295-313 (1992). In a series of papers [Acta Arith. 48, 167-190 (1987; Zbl 0569.10019); Number theory and combinatorics, 1984, 265-278 (1985; Zbl 0608.10040); Acta Arith. 50, 315-337 (1988; Zbl 0657.10042); Nagoya Math. J. 116, 123-138 (1989; Zbl 0694.10038 (675.10017)); Proc. Jap.-Fr. Symp., Tokyo/Jap. 1988, Lecture Notes Math. 1434, 178-187 (1990; Zbl 0705.11050); J. Number Theory 40, 187-210 (1992; Zbl 0746.11051)], the author studied the value distributions of various functions having a Dirichlet series, generalising and extending results by H. Bohr and B. Jessen [Acta Math. 54, 1-35 (1930; JFM 56.0287.01)] on the Riemann zeta function. The present paper is essentially a survey of such results.For the entire collection see [Zbl 0772.00021]. Reviewer: P.Shiu (Loughborough) Cited in 4 Documents MSC: 11M41 Other Dirichlet series and zeta functions 11K99 Probabilistic theory: distribution modulo \(1\); metric theory of algorithms Keywords:value distributions; functions having a Dirichlet series; survey Citations:Zbl 0675.10017; Zbl 0569.10019; Zbl 0608.10040; Zbl 0657.10042; Zbl 0694.10038; Zbl 0705.11050; Zbl 0746.11051; JFM 56.0287.01 PDFBibTeX XMLCite \textit{K. Matsumoto}, in: Proceedings of the Amalfi conference on analytic number theory, held at Maiori, Amalfi, Italy, from 25 to 29 September, 1989. Salerno: Universitá di Salerno. 295--313 (1992; Zbl 0797.11068)