Introduction to Algebraic Independence Theory

Introduction to Algebraic Independence Theory edited by Yuri V. Nesterenko, Patrice Philippon.

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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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Nesterenko, Yuri V. (Editor), Philippon, Patrice (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001.
Edition:1st ed. 2001.
Series:Lecture Notes in Mathematics, 1752
Springer eBook Collection.
Subjects:
Number theory.
Algebraic geometry.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Description
Summary: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 ê(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.
Physical Description:XVI, 260 p. online resource.
ISBN:9783540445500
ISSN:0075-8434 ;
DOI:10.1007/b76882

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