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Mahler Functions and Transcendence

  • Authors
  • Kumiko┬áNishioka

Part of the Lecture Notes in Mathematics book series (LNM, volume 1631)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Kumiko Nishioka
    Pages 118-149
  3. Kumiko Nishioka
    Pages 150-175
  4. Back Matter
    Pages 176-186

About this book

Introduction

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

Mahler function algebra algebraic independence functional equation ring theory transcendental number

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0093672
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-61472-2
  • Online ISBN 978-3-540-68598-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site