On the normal number of prime factors of \(\phi(n)\)
The authors prove that the number of prime factors (either distinct or counted with multiplicities) of Euler's function \(\phi(n)\) obeys the Gaussian distribution law. The normal order equals \((\log\log n)^3/2\) and the standard deviation is \(3^{-1/2}(\log\log n)^{3/2}\).
scientific article; zbMATH DE number 4000050