Meromorphic Functions over Non-Archimedean Fields
By: by Pei-Chu Hu, Chung-Chun Yang
Contributors: Yang, Chung-Chun
Series: Mathematics and Its Applications -- 522; Mathematics and Its Applications -- 522
Publisher: Springer Netherlands
Published: 2000
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 295
ISBN-13: 9789048155460; 9789401594158
Subjects: Mathematics; Differential equations, partial; Global analysis (Mathematics); Functions of complex variables
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.
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