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 develop…
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Produktdetails
Weitere Autoren: Philippon, Patrice (Hrsg.)
- ISBN: 978-3-540-44550-0
- EAN: 9783540445500
- Produktnummer: 38252846
- Verlag: Springer Berlin Heidelberg
- Sprache: Englisch
- Erscheinungsjahr: 2003
- Seitenangabe: 260 S.
- Plattform: PDF
- Auflage: 2001
- Reihenbandnummer: 1752
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