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.
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 ;
DOI:10.1007/978-3-540-74776-5

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