Yuri Nesterenko (mathematician)

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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 {\displaystyle \pi } {\displaystyle \pi } and e π {\displaystyle e^{\pi }} {\displaystyle e^{\pi }} are algebraically independent.[1] In fact, he proved the stronger result:

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

Nesterenko 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.

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References