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Value Distribution in P-adic Analysis (Hardcover) (Alain Escassut)

Value Distribution in P-adic Analysis (Hardcover) (Alain Escassut) - image 1 of 1

About this item

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.
Number of Pages: 544
Genre: Mathematics
Sub-Genre: Mathematical Analysis, Number Theory, Research
Format: Hardcover
Publisher: World Scientific Pub Co Inc
Author: Alain Escassut
Language: English
Street Date: January 30, 2016
TCIN: 50645207
UPC: 9789814730105
Item Number (DPCI): 248-09-8018
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