  The Landau-Selberg-Delange (LSD) method gives an asymptotic formula for the
partial sums of a multiplicative function $f$ whose prime values are $\alpha$
on average. In the literature, the average is usually taken to be $\alpha$ with
a very strong error term, leading to an asymptotic formula for the partial sums
with a very strong error term. In practice, the average at the prime values may
only be known with a fairly weak error term, and so we explore here how good an
estimate this will imply for the partial sums of $f$, developing new techniques
to do so.
