Meromorphic Functions over non-Archimedean Fields by Pei-Chu HuMeromorphic Functions over non-Archimedean Fields by Pei-Chu Hu

Meromorphic Functions over non-Archimedean Fields

byPei-Chu Hu

Paperback | December 7, 2010

Pricing and Purchase Info

$161.77 online 
$180.95 list price save 10%
Earn 809 plum® points
Quantity:

In stock online

Ships free on orders over $25

Not available in stores

about

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.
Title:Meromorphic Functions over non-Archimedean FieldsFormat:PaperbackDimensions:303 pages, 9.25 × 6.1 × 0 inPublished:December 7, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048155460

ISBN - 13:9789048155460

Look for similar items by category:

Reviews

Table of Contents

Preface. 1. Basic facts in rho-adic analysis. 2. Nevanlinna theory. 3. Uniqueness of meromorphic functions. 4. Differential equations. 5. Dynamics. 6. Holomorphic curves. 7. Diophantine Approximations. A. The Cartan conjecture for moving targets. Symbols. Index.