Nikolai Chebotaryov
| Nikolai Chebotaryov | |
|---|---|
|
Nikolai Chebotaryov (to the left) with students | |
| Born |
15 June 1894 Kamianets-Podilskyi, Russian Empire (modern-day Ukraine) |
| Died |
2 July 1947 (aged 53) Moscow, Soviet Union |
| Nationality | Soviet Union |
| Fields | Mathematics |
| Institutions | Kazan State University |
| Alma mater | Kiev State University |
| Doctoral advisor | Dmitry Grave |
| Doctoral students |
Petr Kontorovich Mark Krein Naum Meiman Vladimir Morozov |
| Known for | Chebotarev's density theorem |
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, doi:10.2307/2589121, JSTOR 2589121. Translated from Postnikov's 1963 Russian book on Galois theory
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