Introduction to Algebraic Independence Theory / Lecture Notes in Mathematics Bd.1752 (PDF)
(Sprache: Englisch)
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...
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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.
Bibliographische Angaben
- 2003, 2001, 260 Seiten, Englisch
- Herausgegeben: Yuri V. Nesterenko, Patrice Philippon
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540445501
- ISBN-13: 9783540445500
- Erscheinungsdatum: 01.07.2003
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Dateiformat: PDF
- Größe: 16 MB
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Englisch
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