Yuri Valentinovich Nesterenko (; born 5 December 1946 in

Kharkov Kharkiv, also known as Kharkov, is the second-largest List of cities in Ukraine, city in Ukraine.

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, now

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) is a Soviet and Russian mathematician who has written papers in

algebraic independence In abstract algebra, a subset S of a field L is algebraically independent over a subfield K if the elements of S do not satisfy any non- trivial polynomial equation with coefficients in K. In particular, a one element set \ is algebraically i ...

theory and

transcendental number theory Transcendental number theory is a branch of number theory that investigates transcendental numbers (numbers that are not solutions of any polynomial equation with rational coefficients), in both qualitative and quantitative ways. Transcendenc ...

. In 1997, he was awarded the

Ostrowski Prize The Ostrowski Prize is a mathematics award given biennially for outstanding research accomplishments in mathematics and numerical analysis. Alexander Ostrowski, a longtime professor at the University of Basel, left his estate to the Ostrowski Found ...

for his proof that the numbers π and ''e''^π are

algebraically independent In abstract algebra, a subset S of a field L is algebraically independent over a subfield K if the elements of S do not satisfy any non- trivial polynomial equation with coefficients in K. In particular, a one element set \ is algebraically i ...

. 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^

, and Γ(1/3) are algebraically independent over Q. * for all positive integers ''n'', the numbers π,

e^

are algebraically independent over Q. He is a professor at

Moscow State University Moscow State University (MSU), officially M. V. Lomonosov Moscow State University,. is a public university, public research university in Moscow, Russia. The university includes 15 research institutes, 43 faculties, more than 300 departments, a ...

, 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 Wadim Zudilin (Вадим Валентинович Зудилин) is a Russian mathematician and number theorist who is active in studying hypergeometric functions and zeta constants. He studied under Yuri V. Nesterenko and worked at Moscow St ...

Publications

References

External links

*
A pictureWeb page at Moscow State University
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encoding if your browser does not render correctly. * Russian mathematicians Corresponding Members of the Russian Academy of Sciences Living people Year of birth missing (living people) {{Russia-mathematician-stub