Items related to VALUE DISTRIBUTION IN P-ADIC ANALYSIS

VALUE DISTRIBUTION IN P-ADIC ANALYSIS - Hardcover

Escassut, Alain

 
9789814730105: VALUE DISTRIBUTION IN P-ADIC ANALYSIS
Hardcover
ISBN 10: 9814730106 ISBN 13: 9789814730105
Publisher: World Scientific Publishing Co Pte Ltd, 2016

Synopsis

 

The book first explains the main properties of analytic functions in order to use them in the study of various problems in p-adic value distribution. Certain properties of p-adic transcendental numbers are examined such as order and type of transcendence, with problems on p-adic exponentials. Lazard's problem for analytic functions inside a disk is explained. P-adic meromorphics are studied. Sets of range uniqueness in a p-adic field are examined. The ultrametric Corona problem is studied. Injective analytic elements are characterized. The p-adic Nevanlinna theory is described and many applications are given: p-adic Hayman conjecture, Picard's values for derivatives, small functions, branched values, growth of entire functions, problems of uniqueness, URSCM and URSIM, functions of uniqueness, sharing value problems, Nevanlinna theory in characteristic p>0, p-adic Yosida's equation.

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Publisher
World Scientific Publishing Co Pte Ltd
Publication date
2016
Language
English
ISBN 10 
9814730106
ISBN 13 
9789814730105
Binding
Hardcover
Number of pages
560