Zeta Functions of Groups and Rings

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 i...

Full description

Bibliographic Details
Main Authors: du Sautoy, Marcus, Woodward, Luke (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2008, 2008
Edition:1st ed. 2008
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Nilpotent Groups: Explicit Examples
  • Soluble Lie Rings
  • Local Functional Equations
  • Natural Boundaries I: Theory
  • Natural Boundaries II: Algebraic Groups
  • Natural Boundaries III: Nilpotent Groups