Zeta Functions of Groups and Rings [electronic resource] / by Marcus du Sautoy, Luke Woodward.
Tipo de material:
TextoSeries Lecture Notes in Mathematics, 1925Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008Descripción: XII, 212 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783540747765Trabajos contenidos: SpringerLink (Online service)Tema(s): Mathematics | Group theory | Algebra | Number theory | Mathematics | Group Theory and Generalizations | Number Theory | Non-associative Rings and AlgebrasFormatos físicos adicionales: Sin títuloClasificación CDD: 512.2 Clasificación LoC:QA174-183Recursos en línea: de clik aquí para ver el libro electrónico
Contenidos:
Springer eBooksResumen: 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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Nilpotent Groups: Explicit Examples -- Soluble Lie Rings -- Local Functional Equations -- Natural Boundaries I: Theory -- Natural Boundaries II: Algebraic Groups -- Natural Boundaries III: Nilpotent Groups.
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.
ZDB-2-SMA
ZDB-2-LNM
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