Lemma 2.3.
Assuming that:
z
≥
3
g
:
ℕ
→
[
0
,
1
]
multiplicative
for some
K
,
A
∈
ℝ
we have
∑
p
≤
z
g
(
p
)
log
p
≤
κ
log
z
+
A
.
Then
1
∑
m
≤
z
h
(
m
)
≤
2
∏
p
≤
z
1
∕
(
e
κ
+
1
)
(
1
−
g
(
p
)
)
,
where
h
is defined in terms of
g
as in Selberg’s sieve.