Asymptotic expansions for the moments of additive arithmetic functions (Q914742)

The author uses a probabilistic model due to P. Diaconis to obtain Dirichlet series representations of the form \[ \sum n^{-s}\cdot f(n)\cdot g(n)=\zeta (s)\cdot H(s), \] with additive arithmetical functions f and g, and he gives some instructive examples. He refers to some papers of his, applying these formulae to obtain asymptotic expansions for \[ \mu_ x(\Omega)=x^{-1}\sum_{m\leq x}\Omega (m),\quad x^{-1}\sum_{m\leq x}\{\Omega (m)-\mu_ x(\Omega)\}^ 2,\quad x^{-1}\sum_{m\leq x}(\Omega (m)-\omega (m)), \] and others.