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.
Produkteigenschaften
- Artikelnummer: 9783540414964
- Medium: Buch
- ISBN: 978-3-540-41496-4
- Verlag: Springer Berlin Heidelberg
- Erscheinungstermin: 18.01.2001
- Sprache(n): Englisch
- Auflage: 2001
- Serie: Lecture Notes in Mathematics
- Produktform: Kartoniert
- Gewicht: 420 g
- Seiten: 260
- Format (B x H x T): 155 x 233 x 16 mm
- Ausgabetyp: Kein, Unbekannt