Yuri Valentinovich Nesterenko (Russian: ?´??? ???????´????? ???????´???; 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 p and ep are algebraically independent.
In fact, he proved the stronger result:
the numbers p, ep, and G(1/4) are algebraically independent over Q.
the numbers p,
e
p
3
{\displaystyle e^{\pi {\sqrt {3}}}}
, and G(1/3) are algebraically independent over Q.
for all positive integers n, the numbers p,
e
p
n
{\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.