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 algebrai...

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Altres autors: Philippon, Patrice, 19..-...., mathématicien (Editor), Nesterenko, Yuri Valentinovich (Editor)
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Col·lecció:Lecture notes in mathematics 1752
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Edition sous un autre format:• Introduction to algebraic independence theory, Yuri V. Nesterenko, Patrice Philippon, eds., 2001, Berlin, Springer, 1 vol. (XIII- 256 p.), Lecture notes in mathematics, 3-540-41496-7
• Introduction to Algebraic Independence Theory, Texte imprimé, 9783662183724
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Sumari: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.
Descripció de l’ítem:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540445500 (PDF)
ISSN:1617-9692
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