Sieve distribution
= Sieve distribution
Put $|\mathcal A_d|=\sum_{d\mid n}a_n$. A nonnegative sequence has distribution $(X,P(z),g,(r_d))$ when $g$ is multiplicative on the squarefree divisors of $P(z)$, $0\leq g(p)<1$, and
$$
|\mathcal A_d|=Xg(d)+r_d
$$
for every $d\mid P(z)$.