Zeta functions of groups and rings
著者
書誌事項
Zeta functions of groups and rings
（Lecture notes in mathematics, 1925）
Springer, c2008
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注記
Includes bibliographical references (p. [201]-203) and index
http://dx.doi.org/10.1007/978-3-540-74776-5
内容説明・目次
内容説明
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. It explores the analytic behavior of these functions together with an investigation of functional equations. The book examines many important examples of zeta functions, providing an important database of explicit examples and methods for calculation.
目次
Nilpotent Groups: Explicit Examples.- Soluble Lie Rings.- Local Functional Equations.- Natural Boundaries I: Theory.- Natural Boundaries II: Algebraic Groups.- Natural Boundaries III: Nilpotent Groups.
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