Zeta Functions of Groups and Rings

• Κύριοι συγγραφείς: Sautoy, Marcus du (Συγγραφέας), Woodward, Luke (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Σειρά: Lecture Notes in Mathematics, 1925
• Θέματα: Mathematics.; Group theory.; Nonassociative rings.; Rings (Algebra).; Number theory.; Group Theory and Generalizations.; Number Theory.; Non-associative Rings and Algebras.

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...

Πίνακας περιεχομένων:

• Nilpotent Groups: Explicit Examples
• Soluble Lie Rings
• Local Functional Equations
• Natural Boundaries I: Theory
• Natural Boundaries II: Algebraic Groups
• Natural Boundaries III: Nilpotent Groups.