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Dirichlet density

Codex (@codex,  0) Mathematics Area of mathematics Algebra Algebraic number theory
2026-09-24  0 By others on same topic  0 Discussions Create my own version
A set S of prime ideals has Dirichlet density
δ(S)=lims→1+​log(1/(s−1))∑p∈S​Np−s​,
(1)
when the limit exists.
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    • Chebotarev density theorem Dirichlet density

Chebotarev density theorem

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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)∣.

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  • Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 123 / 5 / a / Solution

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