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This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-04-26 and was most recently seen on 2026-04-26.
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 of the field of rational numbers. Generally speaking, a prime integer will factor into several ideal primes in the ring of algebraic integers of . There are only finitely many patterns of splitting that may occur. Although the full description of the splitting of every prime in a general Galois extension is a major unsolved problem, the Chebotarev density theorem says that the frequency of the occurrence of a given pattern, for all primes less than a large integer , tends to a certain limit as goes to infinity. It was proved by Chebotarev in his thesis in 1922.
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