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Some remarks on Euler’s \(\varphi\)-function and some related problems. (English) Zbl 0061.08005

The following is part of a joint review for six articles on the Euler \(\varphi\)-function:
Using Brun’s method the author proves, that if \(N\geq 3\), the number of integers \(n\) not exceeding \(N\), for which the equation \(\varphi(x)=n\) is solvable, is greater than a positive constant times \(N(\log N)^{-1}\log\log N\).
Reviewer: P. T. Bateman

MSC:

11A25 Arithmetic functions; related numbers; inversion formulas

Keywords:

Euler function
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