Zeta Functions of Groups and Rings

Zeta Functions of Groups and Rings by Marcus du Sautoy, Luke Woodward.

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...

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Bibliographic Details
Main Authors: du Sautoy, Marcus (Author), Woodward, Luke (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Edition:1st ed. 2008.
Series:Lecture Notes in Mathematics, 1925
Springer eBook Collection.
Subjects:
Group theory.
Number theory.
Nonassociative rings.
Rings (Algebra).
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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.

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