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Introduction to Algebraic Independence Theory

Introduction to Algebraic Independence Theory

Paperback

Series: Lecture Notes in Mathematics, Book 1752

Medical ReferenceGeneral MathematicsGeometry

ISBN10: 3540414967
ISBN13: 9783540414964
Publisher: Springer
Published: Jan 18 2001
Pages: 260
Weight: 0.86
Height: 0.58 Width: 6.14 Depth: 9.21
Language: English
In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e (pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject.

Also from

Nesterenko, Yuri V.

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General Mathematics