Yuri Valentinovich Nesterenko is a mathematician who has written papers in algebraic independence

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...

 theory and transcendental number theory

Transcendence theory

Transcendence theory is a branch of number theory that investigates transcendental numbers, in both qualitative and quantitative ways.-Transcendence:...

.

In 1997 he was awarded the Ostrowski Prize

Ostrowski Prize

The Ostrowski Prize is a mathematics award given every other year by an international jury from the universities of Basel, Jerusalem, Waterloo and the academies of Denmark and the Netherlands...

 for his proof that the numbers π

Pi

' is a mathematical constant that is the ratio of any circle's circumference to its diameter. is approximately equal to 3.14. Many formulae in mathematics, science, and engineering involve , which makes it one of the most important mathematical constants...

 and e^π are algebraically independent

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 fact, he proved the stronger result:

• the numbers π, e^π, and Γ
  Gamma function
  In mathematics, the gamma function is an extension of the factorial function, with its argument shifted down by 1, to real and complex numbers...
  
  (1/4) are algebraically independent over Q.
• the numbers π, , and Γ(1/3) are algebraically independent over Q.
• for all positive integers n, the numbers π, are algebraically independent over Q.

He is a professor at Moscow State University.

He studied under Andrei Borisovich Shidlovskii. Nesterenko's students have included Wadim Zudilin

Wadim Zudilin

Wadim Zudilin is a Russian number theorist who is active in studying hypergeometric functions and zeta constants. He studied under Yuri V. Nesterenko and worked at Moscow State University, the Steklov Institute of Mathematics and the Max Planck Institute for Mathematics. He now works at the...

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External links

• A picture
• Web page at Moscow State University ; switch to Windows-1251
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