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

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

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

References

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