Introduction to algebraic independence theory
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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.
Book details
- Year
- 2001
- Language
- English
- Publisher
- Springer
- Editions
- 2
- Pages
- 256
- ISBN
- 9783540414964
Data source: Wikidata