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.

Keywords

Bibliographic Information

Book Title: Mahler Functions and Transcendence
Authors: Kumiko Nishioka
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0093672
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1996
Softcover ISBN: 978-3-540-61472-2Published: 13 September 1996
eBook ISBN: 978-3-540-68598-2Published: 14 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: IX, 191
Topics: Number Theory, Numerical Analysis, Algebra

Publish with us

Policies and ethics

Authors:

Sections

Buy it now

Buying options

Other ways to access

Table of contents (5 chapters)

Front Matter

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

Back Matter

About this book