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Record Nr. |
UNINA9910484291403321 |
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Autore |
Du Sautoy Marcus |
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Titolo |
Zeta functions of groups and rings / / Marcus du Sautoy, Luke Woodward |
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Pubbl/distr/stampa |
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Berlin ; ; Heidelberg : , : Springer-Verlag, , [2008] |
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©2008 |
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ISBN |
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Edizione |
[1st ed. 2008.] |
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Descrizione fisica |
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1 online resource (XII, 212 p.) |
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Collana |
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Lecture Notes in Mathematics ; ; 1925 |
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Disciplina |
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Soggetti |
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Functions, Zeta |
Group theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references (p. [201]-203) and indexes. |
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Nota di contenuto |
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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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Sommario/riassunto |
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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. |
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