Meromorphic Functions over Non-Archimedean Fields
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Author
Contributions
- Yang, Chung-Chun - Contributor
Publication
2000 - Springer Netherlands, Dordrecht, Netherlands
Language
English
Word Count
73,750 words, Guess
Page Count
295 pages
Physical Format
[electronic resource] /
Identifiers
- Open LibraryOL27074365M
- ISBN-139789048155460
- ISBN-109048155460
- OCLC Control Number851375755
- OCLC Control Numbermeromorphicfunct00hupe
Classifications
- DDC515
- LCCQA299.6-433
Description
This book introduces value distribution theory over non-Archimedean fields, starting with a survey of two Nevanlinna-type main theorems and defect relations for meromorphic functions and holomorphic curves. Secondly, it gives applications of the above theory to, e.g., abc-conjecture, Waring's problem, uniqueness theorems for meromorphic functions, and Malmquist-type theorems for differential equations over non-Archimedean fields. Next, iteration theory of rational and entire functions over non-Archimedean fields and Schmidt's subspace theorems are studied. Finally, the book suggests some new problems for further research. Audience: This work will be of interest to graduate students working in complex or diophantine approximation as well as to researchers involved in the fields of analysis, complex function theory of one or several variables, and analytic spaces.
Subjects
Series Statement
- Mathematics and Its Applications -- 522
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