Nikolai Chebotaryov
Nikolai Grigorievich Chebotaryov (often spelled Chebotarov or Chebotarev, Ukrainian: Мико́ла Григо́рович Чеботарьо́в, Russian: Никола́й Григо́рьевич Чеботарёв) (15 June [O.S. 3 June] 1894 – 2 July 1947) was a Soviet mathematician. He is best known for the Chebotaryov density theorem.
Nikolai Chebotaryov | |
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Born | |
Died | 2 July 1947 53) | (aged
Nationality | Soviet Union |
Alma mater | Kiev State University |
Known for | Chebotarev's density theorem |
Scientific career | |
Fields | Mathematics |
Institutions | Kazan State University |
Doctoral advisor | Dmitry Grave |
Doctoral students | Mark Krein Naum Meiman |
He was a student of Dmitry Grave, a Russian mathematician. Chebotaryov worked on the algebra of polynomials, in particular examining the distribution of the zeros. He also studied Galois theory and wrote a textbook on the subject titled Basic Galois Theory. His ideas were used by Emil Artin to prove the Artin reciprocity law. He worked with his student Anatoly Dorodnov on a generalization of the quadrature of the lune, and proved the conjecture now known as the Chebotaryov theorem on roots of unity.