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A new proof of Erdős’s theorem on monotone multiplicative functions. (English) Zbl 0614.10001
P. Erdős proved [Ann. Math., II. Ser. 47, 1-20 (1946; Zbl 0062.079)] that if f is multiplicative and increasing then \(f(n)=n^{\alpha}\) for some \(\alpha\geq 0\). The author gives a short proof of this theorem.
Reviewer: D.Wolke

MSC:
11A25 Arithmetic functions; related numbers; inversion formulas
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