##  [Chebotarev Density Theorem](/index.php/chebotarev-density-theorem) 

  ##  [Chebotarev Density Theorem](https://mathlogic.quantumdictionary.io/chebotarev-density-theorem-0) 

  

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- Natural & Formal Sciences -

**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A theorem in algebraic number theory that identifies the natural density of rational primes whose Frobenius conjugacy class in the Galois group of a finite Galois extension lies in a prescribed conjugacy class; the density equals the size of that conjugacy class divided by the order of the Galois group.

 

 

 

 

 





 

 



 ##  [Chebotarev Density Theorem](https://puremath.quantumdictionary.io/chebotarev-density-theorem-1) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A theorem that describes the asymptotic density of prime ideals in a number field whose Frobenius conjugacy class lies in a specified conjugacy class C of the Galois group of a finite Galois extension: the (natural) density equals |C|/|G|.