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Introduction to Algebraic Independence Theory [electronic resource] /
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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| Main Authors: | , , |
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| Format: | Texto biblioteca |
| Language: | eng |
| Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg,
2001
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| Subjects: | Mathematics., Algebraic geometry., Number theory., Number Theory., Algebraic Geometry., |
| Online Access: | http://dx.doi.org/10.1007/b76882 |
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