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Nikolai Chebotaryov

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Nikolai Chebotaryov
File:Chebotaryov-meiman.jpg
Nikolai Chebotaryov (to the left) with students
Born(1894-06-15)15 June 1894
Died2 July 1947(1947-07-02) (aged 53)
NationalitySoviet Union
Alma materKiev State University
Known forChebotarev's density theorem
Scientific career
FieldsMathematics
InstitutionsKazan State University
Doctoral advisorDmitry Grave
Doctoral studentsPetr Kontorovich
Mark Krein
Naum Meiman
Vladimir Morozov

Nikolai Grigorievich Chebotaryov (often spelled Chebotarov or Chebotarev, Template:Lang-ru, Template:Lang-uk) (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

Early Life

Nikolai Chebotaryov was born at 15 June 1894 Kamianets-Podilskyi, Russian Empire (modern-day Ukraine). He entered the department of physics and mathematics at Kiev University in 1912. In 1928 he became a professor at Kazan University and would remain there for the rest of his life. He died on the second of July in 1947. He was an atheist.[6] On May 14, 2010, a memorial plaque for Nikolai Chebotaryov was unveiled on the main administration building of I.I. Mechnikov Odessa National University.[7]

References

  1. ^ O'Connor, John J.; Robertson, Edmund F., "Nikolai Grigorievich Chebotaryov", MacTutor History of Mathematics Archive, University of St Andrews.
  2. ^ Lenstra, H. W.; Stevenhagen, P. (1996), "Chebotarëv and his density theorem" (PDF), Mathematical Intelligencer, 18 (2): 26–37, doi:10.1007/BF03027290.
  3. ^ Nikolay Grigorievich Chebotarev at the Mathematics Genealogy Project
  4. ^ http://websites.math.leidenuniv.nl/algebra/artin.pdf
  5. ^ 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
  6. ^ http://www.ams.org/notices/201401/rnoti-p62.pdf
  7. ^ "Chebotaryov, Nikolai Grigorievich." Complete Dictionary of Scientific Biography. 2008 - http://www.encyclopedia.com/doc/1G2-2830900875.html