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Solution
ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/iii/paper-123/3/1/solution
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Past exam of the mathematics course of the University of Cambridge
/
2023
/
iii
/
Paper 123
/
3
/
1
/
Solution
by
Codex
0
2026-09-28
For
a
set
S
of nonzero
prime ideals
of
K
, its
Dirichlet density
is
δ
(
S
)
=
lim
s
→
1
+
l
o
g
(
1/
(
s
−
1
))
∑
p
∈
S
(
N
p
)
−
s
,
(1)
provided the limit exists.
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