Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 326)
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Table of contents (15 chapters)
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Introduction and Historical Survey
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Linear Independence of Logarithms and Measures
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Multiplicities in Higher Dimension
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The Linear Subgroup Theorem
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Simultaneous Approximation of Values of the Exponential Function in Several Variables
Keywords
About this book
Reviews
“This extensive monograph gives an excellent report on the present state of the art … . The reader having enough time and energy may learn from this carefully written book a great deal of modern transcendence theory from the very beginning. In this process, the many included exercises may be very helpful. Everybody interested in transcendence will certainly admire the author’s achievement to present such a clear and complete exposition of a topic growing so fast.” (P.Bundschuh, zbMATH 0944.11024, 2021)
"The present book is very nice to read, and gives a comprehensive overview of one wide aspect of Diophantine approximation. It includes the main achievements of the last several years, and points out the most interesting open questions. Moreover, each chapter is followed by numerous exercises, which provide an interesting complement of the main text. Many of them are adapted from original papers. Solutions are not given; however, there are helpful hints. This book is of great interest not only for experts in the field; it should also be recommended to anyone willing to have a taste of transcendental number theory. Undoubtedly, it will be very useful for anyone preparing a post-graduate course on Diophantine approximation."--MATHEMATICAL REVIEWS
Authors and Affiliations
Bibliographic Information
Book Title: Diophantine Approximation on Linear Algebraic Groups
Book Subtitle: Transcendence Properties of the Exponential Function in Several Variables
Authors: Michel Waldschmidt
Series Title: Grundlehren der mathematischen Wissenschaften
DOI: https://doi.org/10.1007/978-3-662-11569-5
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2000
Hardcover ISBN: 978-3-540-66785-8Published: 26 May 2000
Softcover ISBN: 978-3-642-08608-3Published: 06 December 2010
eBook ISBN: 978-3-662-11569-5Published: 14 March 2013
Series ISSN: 0072-7830
Series E-ISSN: 2196-9701
Edition Number: 1
Number of Pages: XXIII, 633
Topics: Algebra, Number Theory, Algebraic Geometry, Group Theory and Generalizations