Zeta functions of groups and rings /

Zeta functions of groups and rings /

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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 i...

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Bibliographic Details
Main Authors: Du Sautoy, Marcus (Author, http://id.loc.gov/vocabulary/relators/aut), Woodward, Luke, D. Phil (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Book
Language:English
Published: Berlin : Springer, c2008
Berlin ; New York : Springer Berlin Heidelberg, ©2008
Berlin : c2008
Berlin, Heidelberg : 2008
Series:Lecture notes in mathematics (Springer-Verlag) ; 1925
Lecture Notes in Mathematics, 1925
Lecture notes in mathematics (Springer-Verlag) ; 1925
Lecture notes in mathematics (Springer-Verlag) 1925
Subjects:
Algebra
Functions, Zeta
Group theory
Noncommutative algebras
Number theory
Rings (Algebra)
Group Theory and Generalizations
Non-associative Rings and Algebras
Number Theory
Electronic books
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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