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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| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2001]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1752. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| 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 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xiii, 256 pages) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9783540445500 (electronic bk.) 3540445501 (electronic bk.) |
| ISSN: | 0075-8434 ; |