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 in the ring of algebraic integers of K {\displaystyle K} .

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