Multiplicative Functions Whose Values Are Uniformly Distributed in (0,m)

@inproceedings{Diamond1980MultiplicativeFW,
  title={Multiplicative Functions Whose Values Are Uniformly Distributed in (0,m)},
  author={Harold G. Diamond},
  year={1980}
}
1. Introduction. Let n6-> Vn) be a positive valued arithmetic function which tends to infinity as n-'> m. We shall say that the values of * are uniformlydistributed in (O,w) (briefly, ii u .d. In (0,m)) if there exists a positive constant 6 such that as y > m def N(y)-N(y,~)-# {n : 0(n) < y } őy. The number ö will be called the density of values. It is known (e .g. [1), [2], [4]) that Euler's function in u .d. in (0,m), and the following general condition that a function * be u .d. in (0,m) was… CONTINUE READING