Mahler Functions and Transcendence [electronic resource] / by Kumiko Nishioka.

By:

Nishioka, Kumiko [author.]

Contributor(s):

SpringerLink (Online service)

Material type: Text

TextSeries: Lecture Notes in Mathematics ; 1631Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1996Description: IX, 191 p. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540685982

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

512.7 23

LOC classification:

QA241-247.5

Online resources:

Click here to access online

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.

In: Springer eBooksSummary: 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.

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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.

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