# Yuri Valentinovich Nesterenko

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

Yuri Valentinovich Nesterenko (Russian: Ю́рий Валенти́нович Нестере́нко; born December 5, 1946 in Kharkiv, 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 eπ are algebraically independent. In fact, he proved the stronger result:

• the numbers π, eπ, 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, 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.