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＜E-Book＞
Zeta Functions of Groups and Rings / by Marcus du Sautoy, Luke Woodward
(Lecture Notes in Mathematics. ISSN:16179692 ; 1925)

Edition	1st ed. 2008.
Publisher	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Year	2008
Language	English
Size	XII, 212 p : online resource
Authors	*du Sautoy, Marcus author Woodward, Luke author SpringerLink (Online service)
Subjects	LCSH:Group theory LCSH:Number theory LCSH:Nonassociative rings FREE:Group Theory and Generalizations FREE:Number Theory FREE:Non-associative Rings and Algebras
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-540-74776-5

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