OurBigBook
About
$
Donate
Sign in
Sign up
Dirichlet density
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Algebra
Algebraic number theory
2026-09-24
0
Like
0 By others
on same topic
0 Discussions
Create my own version
A
set
S
of
prime ideals
has Dirichlet
density
δ
(
S
)
=
lim
s
→
1
+
l
o
g
(
1/
(
s
−
1
))
∑
p
∈
S
N
p
−
s
,
(1)
when the limit exists.
Table of contents
Chebotarev density theorem
Dirichlet density
Chebotarev density theorem
0
0
0
Dirichlet density
For
a
finite Galois extension
L
/
K
and
a
conjugacy class
C
in its
Galois group
, the unramified primes with Frobenius class
C
have
density
∣
C
∣/∣
Gal
(
L
/
K
)
∣
.
Ancestors
(5)
Algebraic number theory
Algebra
Area of mathematics
Mathematics
Home
Incoming links
(1)
Past exam of the mathematics course of the University of Cambridge
/
2024
/
iii
/
Paper 123
/
5
/
a
/
Solution
View article source
Discussion
(0)
Subscribe (1)
New discussion
There are no discussions about this article yet.
Articles by others on the same topic
(0)
There are currently no matching articles.
See all articles in the same topic
Create my own version