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Introduction to Algebraic Independence Theory: 1752 (Lecture Notes in Mathematics, 1752) - Softcover
Synopsis
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.
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- PublisherSpringer
- Publication date2001
- ISBN 10 3540414967
- ISBN 13 9783540414964
- BindingPaperback
- Number of pages276
- EditorNesterenko Yuri V., Philippon Patrice
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Introduction to Algebraic Independence Theory
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ISBN 10: 3540414967
ISBN 13: 9783540414964
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