Authors:
- Self-contained, appended with a comprehensive and up-dated list of references
- Proves challenging open problems in studying Diophantine approximation and Nevanlinna theory
- Authors' research activities over the past eight years collected in this book
- Includes supplementary material: sn.pub/extras
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Table of contents (7 chapters)
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Front Matter
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Back Matter
About this book
The subject of the book is Diophantine approximation and Nevanlinna theory. Not only does the text provide new results and directions, it also challenges open problems and collects latest research activities on these subjects made by the authors over the past eight years. Some of the significant findings are the proof of the Green-Griffiths conjecture by using meromorphic connections and Jacobian sections, and a generalized abc-conjecture. The book also presents the state of the art in the studies of the analogues between Diophantine approximation (in number theory) and value distribution theory (in complex analysis), with a method based on Vojta’s dictionary for the terms of these two fields. The approaches are relatively natural and more effective than existing methods.
The book is self-contained and appended with a comprehensive and up-to-date list of references. It is of interest to a broad audience of graduate students and researchers specialized in pure mathematics.
Reviews
From the reviews:
“In this monograph the authors survey both basics and well-known results of both value distribution theory in higher dimensions and Diophantine geometry. … This book is devoted to a subject the reviewer considers intriguing and it may be a valuable work of reference.” (Ch. Baxa, Monatshefte für Mathematik, Vol. 154 (4), August, 2008)
Authors and Affiliations
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Department of Mathematics, Shandong University, Jinan Shandong, P.R. China
Pei-Chu Hu
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Department of Mathematics, The Hong Kong University of Science and Technology, Kowloon, Hong Kong, P.R. China
Chung-Chun Yang
Bibliographic Information
Book Title: Value Distribution Theory Related to Number Theory
Authors: Pei-Chu Hu, Chung-Chun Yang
DOI: https://doi.org/10.1007/3-7643-7569-8
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2006
Hardcover ISBN: 978-3-7643-7568-3Published: 14 June 2006
eBook ISBN: 978-3-7643-7569-0Published: 06 October 2006
Edition Number: 1
Number of Pages: XI, 543
Topics: Number Theory, Functional Analysis, Functions of a Complex Variable