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.

Nesterenko at the workshop "Diophantic Approximations" in Oberwolfach, 2007

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

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

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

External links

• 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