Introduction to Algebraic Independence Theory
Yuri V. Nesterenko, Patrice Philippon (eds.)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.
Категории:
Год:
2001
Издание:
1
Издательство:
Springer-Verlag Berlin Heidelberg
Язык:
english
Страницы:
260
ISBN 10:
3540414967
ISBN 13:
9783540414964
Серия:
Lecture Notes in Mathematics 1752
Файл:
DJVU, 1.91 MB
IPFS:
,
english, 2001
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