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An arithmetic function arising from the \(\varphi\)-function. (English) Zbl 0061.08002

The following is part of a joint review for six articles on the Euler \(\varphi\)-function:
The author proves various elementary properties of the arithmetic function \(C(n)\), defined for positive integers \(n>2\)) as the unique positive integer \(k\) such that \(\varphi^k(n)=2\), where \(\varphi^k\) denotes the \(k\)-th iterate of \(\varphi\).
Reviewer: P. T. Bateman

MSC:

11A25 Arithmetic functions; related numbers; inversion formulas
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