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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 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.
Author(s): Marcus du Sautoy, Luke Woodward (auth.)
Series: Lecture notes in mathematics 1925
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2008
Language: English
Pages: 212
City: Berlin
Tags: Group Theory and Generalizations; Number Theory; Non-associative Rings and Algebras