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Beschreibung
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.
Details
| Verlag | Springer Berlin |
| Ersterscheinung | 18. Januar 2001 |
| Maße | 23.5 cm x 15.5 cm |
| Gewicht | 420 Gramm |
| Format | Softcover |
| ISBN-13 | 9783540414964 |
| Seiten | 260 |
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