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

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Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
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Format:
Book
Author/Creator:
Du Sautoy, Marcus, author.
Woodward, Luke, D. Phil., author.
Contributor:
SpringerLink (Online service)
Series:
Lecture Notes in Mathematics, 0075-8434 ; 1925.
Lecture Notes in Mathematics, 0075-8434 ; 1925
Language:
English
Subjects (All):
Group theory.
Number theory.
Algebra.
Group Theory and Generalizations.
Number Theory.
Non-associative Rings and Algebras.
Local Subjects:
Group Theory and Generalizations.
Number Theory.
Non-associative Rings and Algebras.
Physical Description:
1 online resource (XII, 212 pages).
Contained In:
Springer eBooks
Place of Publication:
Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
System Details:
text file PDF
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.
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.
Other Format:
Printed edition:
ISBN:
9783540747765
Access Restriction:
Restricted for use by site license.

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