Mahler functions and transcendence /

Mahler functions and transcendence /

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Bibliographic Details
Author / Creator:	Nishioka, Kumiko, 1954-
Imprint:	Berlin ; New York : Springer, ©1996.
Description:	1 online resource (viii, 185 pages).
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1631 Lecture notes in mathematics (Springer-Verlag) ; 1631.
Subject:	p-adic numbers. Numerical functions. Numerical functions. p-adic numbers.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11071448

Hidden Bibliographic Details
ISBN:	9783540685982 3540685987 9783540614722 3540614729
Notes:	Includes bibliographical references (pages 176-184) and index. Print version record.
Summary:	This book is the first comprehensive treatise of the transcendence theory of Mahler functions and their values. Recently the theory has seen profound development and has found a diversity of applications. The book assumes a background in elementary field theory, p-adic field, algebraic function field of one variable and rudiments of ring theory. The book is intended for both graduate students and researchers who are interested in transcendence theory. It will lay the foundations of the theory of Mahler functions and provide a source of further research.
Other form:	Print version: Nishioka, Kumiko, 1954- Mahler functions and transcendence. Berlin ; New York : Springer, ©1996 3540614729

Table of Contents:

Transcendence theory of mahler functions of one variable
Transcendence theory of mahler functions of several variables
Algebraic independence of mahler functions and their values
Applications of elimination theory
Regular sequences and mahler functions.