Yuri Nesterenko (mathematician)

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

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

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.

• Nesterenko, Y. (1996). "Modular Functions and Transcendence Problems". Comptes Rendus de l'Académie des Sciences, Série I. 322 (10): 909–914.

• Ostrowski Foundation (August 1998). "Nesterenko and Pisier Share Ostrowski Prize" (PDF). Notices of the AMS.
• A picture
• Web page at Moscow State University (in Russian); switch to Windows-1251 encoding if your browser does not render correctly.
• Yuri Nesterenko at the Mathematics Genealogy Project