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...

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Bibliographic Details
Main Authors: Sautoy, Marcus du (Author), Woodward, Luke (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
Series:Lecture Notes in Mathematics, 1925
Subjects:
Online Access:Full Text via HEAL-Link
Description
Summary: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.
Physical Description:XII, 212 p. online resource.
ISBN:9783540747765
ISSN:0075-8434 ;