Zeta Functions of Groups and Rings

  • Marcus du Sautoy
  • Luke Woodward

Part of the Lecture Notes in Mathematics book series (LNM, volume 1925)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Pages 1-20
  3. Pages 69-82
  4. Back Matter
    Pages 179-212

About this book

Introduction

Zeta functions have been a powerful tool in mathematics over the last two centuries. This book considers a new class of non-commutative zeta functions which encode the structure of the subgroup lattice in infinite groups. The book explores the analytic behaviour of these functions together with an investigation of functional equations. Many important examples of zeta functions are calculated and recorded providing an important data base of explicit examples and methods for calculation.

Keywords

Lattice Zeta function algebra group ring

Authors and affiliations

  • Marcus du Sautoy
    • 1
  • Luke Woodward
    • 1
  1. 1.Mathematical InstituteUniversity of OxfordOxfordUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-74776-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-74701-7
  • Online ISBN 978-3-540-74776-5
  • Series Print ISSN 0075-8434
  • About this book