Zeta Functions of Groups and Rings [electronic resource] / by Marcus du Sautoy, Luke Woodward.

By:

Sautoy, Marcus du [author.]

Contributor(s):

Material type: Text

TextSeries: Lecture Notes in Mathematics ; 1925Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008Description: XII, 212 p. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540747765

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

512.2 23

LOC classification:

QA174-183

Online resources:

Click here to access online

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.

In: Springer eBooksSummary: 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.

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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.

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