Zeta Functions of Groups and Rings

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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: du Sautoy, Marcus (Autor), Woodward, Luke (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Edición:1st ed. 2008.
Colección:Lecture Notes in Mathematics, 1925
Temas:
Group theory.
Number theory.
Nonassociative rings.
Group Theory and Generalizations.
Number Theory.
Non-associative Rings and Algebras.
Acceso en línea:Texto Completo
Descripción
Sumario: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.
Descripción Física:XII, 212 p. online resource.
ISBN:9783540747765
ISSN:1617-9692 ;

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