Yuri Valentinovich Nesterenko (russian: link=no, Ю́рий Валенти́нович Нестере́нко; born 5 December 1946 in

Kharkov Kharkiv ( uk, Ха́рків, ), also known as Kharkov (russian: Харькoв, ), is the second-largest city and municipality in Ukraine.

USSR The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen nationa ...

, now

Ukraine Ukraine ( uk, Україна, Ukraïna, ) is a country in Eastern Europe. It is the second-largest European country after Russia, which it borders to the east and northeast. Ukraine covers approximately . Prior to the ongoing Russian inv ...

) 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 in ...

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. Transcendence ...

. In 1997 he was awarded the

Ostrowski Prize The Ostrowski Prize is a mathematics award given every odd year for outstanding mathematical achievement judged by an international jury from the universities of Basel, Jerusalem, Waterloo and the academies of Denmark and the Netherlands. Alexan ...

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 in ...

. 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 M. V. Lomonosov Moscow State University (MSU; russian: Московский государственный университет имени М. В. Ломоносова) is a public research university in Moscow, Russia and the most prestigious ...

, 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

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