Zeta Functions of Groups and Rings / Edition 1

Zeta Functions of Groups and Rings / Edition 1

by Marcus du Sautoy, Luke Woodward
     
 

ISBN-10: 354074701X

ISBN-13: 9783540747017

Pub. Date: 12/14/2007

Publisher: Springer Berlin Heidelberg

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. It explores the analytic behavior of these functions together with an investigation of functional equations. The book examines many important

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Overview

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. It explores the analytic behavior of these functions together with an investigation of functional equations. The book examines many important examples of zeta functions, providing an important database of explicit examples and methods for calculation.

Product Details

ISBN-13:
9783540747017
Publisher:
Springer Berlin Heidelberg
Publication date:
12/14/2007
Series:
Lecture Notes in Mathematics Series, #1925
Edition description:
2008
Pages:
212
Product dimensions:
9.21(w) x 6.14(h) x 0.48(d)

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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