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- About this book
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This book is the first comprehensive treatise of the transcendence theory of Mahler functions and their values. Recently the theory has seen profound development and has found a diversity of applications. The book assumes a background in elementary field theory, p-adic field, algebraic function field of one variable and rudiments of ring theory. The book is intended for both graduate students and researchers who are interested in transcendence theory. It will lay the foundations of the theory of Mahler functions and provide a source of further research.
- Table of contents (5 chapters)
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Transcendence theory of mahler functions of one variable
Pages 1-32
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Transcendence theory of mahler functions of several variables
Pages 33-77
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Algebraic independence of mahler functions and their values
Pages 78-117
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Applications of elimination theory
Pages 118-149
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Regular sequences and mahler functions
Pages 150-175
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Table of contents (5 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Mahler Functions and Transcendence
- Authors
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- Kumiko Nishioka
- Series Title
- Lecture Notes in Mathematics
- Series Volume
- 1631
- Copyright
- 1996
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-540-68598-2
- DOI
- 10.1007/BFb0093672
- Softcover ISBN
- 978-3-540-61472-2
- Series ISSN
- 0075-8434
- Edition Number
- 1
- Number of Pages
- IX, 191
- Topics
