Yuri Nesterenko (mathematician) explained

Yuri Valentinovich Nesterenko (ru|link=no|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,

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.. Modular Functions and Transcendence Problems. Comptes Rendus de l'Académie des Sciences, Série I. 322. 909–914. 1996. 10.

External links

• Ostrowski Foundation. Ostrowski Prize. Nesterenko and Pisier Share Ostrowski Prize. Notices of the AMS. August 1998.
• A picture
• Web page at Moscow State University ; switch to Windows-1251 encoding if your browser does not render correctly.

Notes and References

1. Nesterenko . Yu V . 31 October 1996 . Modular functions and transcendence questions . . 187 . 9 . 1319–1348 . 10.1070/sm1996v187n09abeh000158 . 1064-5616.