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 Ukrainian and Soviet mathematician.[1] He is best known for the Chebotaryov density theorem.[2]

Nikolai Chebotaryov
Nikolai Chebotaryov.jpg
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
InstitutionsKazan State University
Doctoral advisorDmitry Grave
Doctoral studentsMark Krein
Naum Meiman

He was a student of Dmitry Grave, a 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 a 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 proved the conjecture now known as the Chebotaryov theorem on roots of unity.

Early lifeEdit

Nikolai Chebotaryov was born on 15 June 1894 in Kamianets-Podilskyi, Russian Empire (now in Ukraine). He entered the department of physics and mathematics at Kyiv University in 1912. In 1928 he became a professor at Kazan University, remaining there for the rest of his life. He died on 2 July 1947. He was an atheist.[6] On 14 May 2010 a memorial plaque for Nikolai Chebotaryov was unveiled on the main administration building of I.I. Mechnikov Odessa National University.[7]


  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, S2CID 14089091.
  3. ^ Nikolay Grigorievich Chebotarev at the Mathematics Genealogy Project
  4. ^[bare URL 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. ^[bare URL PDF]
  7. ^ "Chebotaryov, Nikolai Grigorievich." Complete Dictionary of Scientific Biography. 2008 -