Nikolai Chebotaryov
Nikolai Chebotaryov | |
|---|---|
| File:Chebotaryov-meiman.jpg Nikolai Chebotaryov (to the left) with pupils | |
| Born | 15 June 1894 |
| Died | 2 July 1947 (aged 53) |
| 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 | Petr Kontorovich Mark Krein Naum Meiman Vladimir Morozov |
Nikolai Grigorievich Chebotaryov (often spelled Chebotarov or Chebotarev) (Russian: Никола́й Григо́рьевич Чеботарёв, Ukrainian: Микола Григорович Чоботарьов) (15 June [O.S. 3 June] 1894 – 2 July 1947) was a noted Russian and Soviet mathematician.[1] He is best known for the Chebotaryov density theorem.[2]
He was a student of Dmitry Grave, a famous Ukrainian and Russian mathematician.[3] Chebotaryov worked on the algebra of polynomials, in particular examining the distribution of the zeros. He also studied Galois theory and wrote an influential textbook on the subject titled Basic Galois Theory. His ideas were used by Emil Artin to prove the Artin reciprocity law[4] He worked with his student Anatoly Dorodnov on a generalization of the quadrature of the lune,[5] and solved a conjecture which is now known as the Chebotaryov theorem on roots of unity
On May 14, 2010, a memorial plaque for Nikolai Chebotaryov was unveiled on the main administration building of I.I. Mechnikov Odessa National University.
References
- ^ O'Connor, John J.; Robertson, Edmund F., "Nikolai Grigorievich Chebotaryov", MacTutor History of Mathematics Archive, University of St Andrews.
- ^ Lenstra, H. W.; Stevenhagen, P. (1996), "Chebotarëv and his density theorem" (PDF), Mathematical Intelligencer, 18 (2): 26–37, doi:10.1007/BF03027290.
- ^ Nikolay Grigorievich Chebotarev at the Mathematics Genealogy Project
- ^ http://websites.math.leidenuniv.nl/algebra/artin.pdf
- ^ Postnikov, M. M. (2000), "The problem of squarable lunes", American Mathematical Monthly, 107 (7): 645–651, JSTOR 2589121. Translated from Postnikov's 1963 Russian book on Galois theory
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