Zeta Functions of Groups and Rings / Lecture Notes in Mathematics Bd.1925 (PDF)
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...
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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.
- Autoren: Marcus Du Sautoy , Luke Woodward
- 2007, 2008, 212 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3540747761
- ISBN-13: 9783540747765
- Erscheinungsdatum: 10.12.2007
Abhängig von Bildschirmgrösse und eingestellter Schriftgrösse kann die Seitenzahl auf Ihrem Lesegerät variieren.
- Dateiformat: PDF
- Grösse: 3.14 MB
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- Vorlesefunktion
"The book starts with a short lovely description of several classical zeta function … . It also contains a large number of examples of groups for which these zeta functions were explicitly computed. … it certainly will be a basic text for anyone who plans to work in this area. … These surely will be valuable for inspiring further developments." (Alexander Lubotzky, Mathematical Reviews, Issue 2009 d)
"The purpose of this stimulating book is to bring into print significant and as yet unpublished work from different areas of the theory of zeta functions of groups. … The book will be not only a valuable reference for people working in this area, but also a fascinating reading for everybody who wants to understand the role zeta functions have in group theory and the connections between subgroup growth and algebraic geometry over finite fields revealed by this theory." (Andrea Lucchini, Zentralblatt MATH, Vol. 1151, 2009)
“The authors have compiled a large body of facts and conjectures which will no doubt be most valuable for everyone working in this fascinating and very active field of research.” (C. Baxa, Monatshefte für Mathematik, Vol. 160 (3), June, 2010)
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