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Yuri Nesterenko (mathematician)

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Soviet and Russian mathematician
Nesterenko at the workshop "Diophantic Approximations" in Oberwolfach, 2007

Yuri Valentinovich Nesterenko (Russian: Ю́рий Валенти́нович Нестере́нко; born 5 December 1946 in Kharkov, USSR, now Ukraine) is a Soviet and Russian mathematician who has written papers in algebraic independence theory and transcendental number theory.

In 1997, he was awarded the Ostrowski Prize for his proof that the numbers π and e are algebraically independent. In fact, he proved the stronger result:

  • the numbers π, e, and Γ(1/4) are algebraically independent over Q.
  • the numbers π, e π 3 {\displaystyle e^{\pi {\sqrt {3}}}} , and Γ(1/3) are algebraically independent over Q.
  • for all positive integers n, the numbers π, e π n {\displaystyle e^{\pi {\sqrt {n}}}} are algebraically independent over Q.

He is a professor at Moscow State University, where he completed the mechanical-mathematical program in 1969, then the doctorate program (Soviet habilitation) in 1973, and became a professor of the Number Theory Department in 1992.

He studied under Andrei Borisovich Shidlovskii. Nesterenko's students have included Wadim Zudilin.

Publications

References

  1. Nesterenko, Yu V (31 October 1996). "Modular functions and transcendence questions". Matematicheskii Sbornik. 187 (9): 1319–1348. doi:10.1070/sm1996v187n09abeh000158. ISSN 1064-5616.

External links


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