Skip to main content
SpringerLink
Log in
Book cover

Mahler Functions and Transcendence

  • Book
  • © 1996

Overview

Authors:
  1. Kumiko Nishioka
    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (5 chapters)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  2. Transcendence theory of mahler functions of one variable

    • Kumiko Nishioka
    Pages 1-32

  3. Transcendence theory of mahler functions of several variables

    • Kumiko Nishioka
    Pages 33-77

  4. Algebraic independence of mahler functions and their values

    • Kumiko Nishioka
    Pages 78-117

  5. Applications of elimination theory

    • Kumiko Nishioka
    Pages 118-149

  6. Regular sequences and mahler functions

    • Kumiko Nishioka
    Pages 150-175

  7. Back Matter

    Pages 176-186
    Download chapter PDF
Back to top

Keywords

About this book

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.

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

Back to top

Search

Navigation