Introduction to Algebraic Independence Theory
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.
| ISBN: | 9783540414964 |
|---|---|
| Sprache: | Englisch |
| Seitenzahl: | 260 |
| Produktart: | Kartoniert / Broschiert |
| Herausgeber: | Nesterenko, Yuri V. Philippon, Patrice |
| Verlag: | Springer Berlin |
| Veröffentlicht: | 18.01.2001 |
| Schlagworte: | Algebraic independence Dimension algebra algebraic geometry algebraic group commutative algebra elimination modular form modular forms multiplicity estimates |
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