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Chebotarev density theorem

In mathematics, specifically in algebraic number theory, the Chebotarev density theorem, named after Nikolai Chebotarev, statistically describes the splitting of primes in a given Galois extension K {\displaystyle K} of the field Q {\displaystyle \mathbb {Q} } of rational numbers. Generally speaking, a prime integer will factor into several ideal primes…

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Chebotarev density theorem

Nodes51
Edges50
Triples31
Avg. degree1.96
Density0.039216
Components1

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Chebotarev density theorem

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related to Infinite extensions · 12
Chebotarev density theorem → Chebotarev, For, Frobenius, Galois, Haar, In, Krull, L/K, Since, The, The Chebotarev, This
related to Relation with Dirichlet's theorem · 8
Chebotarev density theorem → Chebotarev, Dirichlet's, Euler, Galois, Indeed, The, The Chebotarev, This
related to Effective version · 7
Chebotarev density theorem → Chebotarev, Delta, Frobenius, Galois, L/K, Riemann, The
related to Important consequences · 4
Chebotarev density theorem → Galois, L/K, Specifically, The Chebotarev

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displaystyle primes theorem galois prime splitting density extension group chebotarev mathbb frobenius case field number class integer conjugacy degree numbers

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SubjectPredicateObjectConfidenceSrc
Chebotarev density theoremrelated to Effective versionThe0.60section
Chebotarev density theoremrelated to Effective versionRiemann0.60section
Chebotarev density theoremrelated to Effective versionChebotarev0.60section
Chebotarev density theoremrelated to Effective versionL/K0.60section
Chebotarev density theoremrelated to Effective versionGalois0.60section
Chebotarev density theoremrelated to Effective versionFrobenius0.60section
Chebotarev density theoremrelated to Effective versionDelta0.60section
Chebotarev density theoremrelated to Important consequencesThe Chebotarev0.60section
Chebotarev density theoremrelated to Important consequencesGalois0.60section
Chebotarev density theoremrelated to Important consequencesSpecifically0.60section
Chebotarev density theoremrelated to Important consequencesL/K0.60section
Chebotarev density theoremrelated to Infinite extensionsThe0.60section

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