Value Distribution In P-adic Analysis

Value Distribution In P-adic Analysis
Author :
Publisher : World Scientific
Total Pages : 559
Release :
ISBN-10 : 9789814730129
ISBN-13 : 9814730122
Rating : 4/5 (29 Downloads)

Book Synopsis Value Distribution In P-adic Analysis by : Alain Escassut

Download or read book Value Distribution In P-adic Analysis written by Alain Escassut and published by World Scientific. This book was released on 2015-11-27 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Value Distribution In P-adic Analysis Related Books

Value Distribution In P-adic Analysis
Language: en
Pages: 559
Authors: Alain Escassut
Categories: Mathematics
Type: BOOK - Published: 2015-11-27 - Publisher: World Scientific

DOWNLOAD EBOOK

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 pr
p-Adic Valued Distributions in Mathematical Physics
Language: en
Pages: 271
Authors: Andrei Y. Khrennikov
Categories: Science
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Numbers ... , natural, rational, real, complex, p-adic .... What do you know about p-adic numbers? Probably, you have never used any p-adic (nonrational) number
P-adic Analysis and Mathematical Physics
Language: en
Pages: 350
Authors: Vasili? Sergeevich Vladimirov
Categories: Science
Type: BOOK - Published: 1994 - Publisher: World Scientific

DOWNLOAD EBOOK

p-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately p-adic numbers have attracted a great de
Analysis, Probability, Applications, and Computation
Language: en
Pages: 540
Authors: Karl‐Olof Lindahl
Categories: Mathematics
Type: BOOK - Published: 2019-04-29 - Publisher: Springer

DOWNLOAD EBOOK

This book is a collection of short papers from the 11th International ISAAC Congress 2017 in Växjö, Sweden. The papers, written by the best international expe
Harmonic, Wavelet and P-adic Analysis
Language: en
Pages: 393
Authors: Nguyen Minh Chuong
Categories: Science
Type: BOOK - Published: 2007 - Publisher: World Scientific

DOWNLOAD EBOOK

The mutual influence between mathematics and science and technology is becoming more and more widespread with profound connections among them being discovered.