Erdős, Pál; Kac, M. The Gaussian law of errors in the theory of additive number-theoretic functions. (English) Zbl 0024.10203 Am. J. Math. 62, 738-742 (1940). Beweis und etwas schärfere Formulierung eines bereits angekündigten Satzes (s. Zbl 0021.20702). Reviewer: Rohrbach (Prag) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 11 ReviewsCited in 37 Documents MSC: 11K65 Arithmetic functions in probabilistic number theory 11N60 Distribution functions associated with additive and positive multiplicative functions Keywords:Number theory Citations:Zbl 0021.20702 PDFBibTeX XMLCite \textit{P. Erdős} and \textit{M. Kac}, Am. J. Math. 62, 738--742 (1940; Zbl 0024.10203) Full Text: DOI Link Online Encyclopedia of Integer Sequences: Numbers k > 2 such that omega(k) > log(log(k)) + sqrt(log(log(k))), where omega(k) is the number of distinct primes dividing k (A001221). Numbers k > 2 such that omega(k) > log(log(k)) + 2 * sqrt(log(log(k))), where omega(k) is the number of distinct primes dividing k (A001221).