This is a preview. Log in through your library . Abstract We introduce a general result relating "short averages" of a multiplicative function to "long averages" which are well understood. This result ...

Let ø denote Euler's phi function. For a fixed odd prime q we investigate the first and second order terms of the asymptotic series expansion for the number of n ⩽ x such that q ∤ ø(n). Part of the ...