Zeta functions of groups and rings /
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...
| Main Authors: | , |
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| Corporate Author: | |
| Format: | Book |
| Language: | English |
| Published: |
Berlin :
Springer,
c2008
Berlin ; New York : Springer Berlin Heidelberg, ©2008 Berlin, Heidelberg : 2008 |
| Series: | Lecture Notes in Mathematics,
1925 Lecture notes in mathematics (Springer-Verlag) ; 1925 Lecture notes in mathematics (Springer-Verlag) 1925 |
| Subjects: |
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| 100 | 1 | |a Du Sautoy, Marcus |1 http://viaf.org/viaf/22423371 | |
| 100 | 1 | |a Du Sautoy, Marcus | |
| 100 | 1 | |a Du Sautoy, Marcus, |e author |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Zeta functions of groups and rings / |c Marcus du Sautoy, Luke Woodward |
| 260 | |a Berlin : |b Springer, |c c2008 | ||
| 260 | |a Berlin ; |a New York : |b Springer, |c ©2008 | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg, |c 2008 | |
| 300 | |a 1 online resource (XII, 212 pages) | ||
| 300 | |a 1 online resource (xii, 208 pages) | ||
| 300 | |a xii, 208 p. ; |c 24 cm | ||
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| 490 | 1 | |a Lecture Notes in Mathematics, |x 0075-8434 ; |v 1925 | |
| 490 | 1 | |a Lecture notes in mathematics ; |v 1925 | |
| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1925 | |
| 504 | |a Includes bibliographical references (pages 201-203) and index | ||
| 504 | |a Includes bibliographical references and index | ||
| 505 | 0 | |a Nilpotent Groups: Explicit Examples -- Soluble Lie Rings -- Local Functional Equations -- Natural Boundaries I: Theory -- Natural Boundaries II: Algebraic Groups -- Natural Boundaries III: Nilpotent Groups | |
| 506 | |a Restricted for use by site license | ||
| 520 | |a 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 | ||
| 530 | |a Also available on the World Wide Web | ||
| 588 | 0 | |a Print version record | |
| 650 | 0 | |a Algebra | |
| 650 | 0 | |a Functions, Zeta | |
| 650 | 0 | |a Group theory | |
| 650 | 0 | |a Noncommutative algebras | |
| 650 | 0 | |a Number theory | |
| 650 | 0 | |a Rings (Algebra) | |
| 650 | 4 | |a Group theory | |
| 650 | 7 | |a Algebra |2 fast | |
| 650 | 7 | |a Functions, Zeta |2 fast | |
| 650 | 7 | |a Group theory |2 fast | |
| 650 | 7 | |a Noncommutative algebras |2 fast | |
| 650 | 7 | |a Number theory |2 fast | |
| 650 | 7 | |a Rings (Algebra) |2 fast | |
| 650 | 1 | 4 | |a Group Theory and Generalizations |
| 650 | 2 | 4 | |a Non-associative Rings and Algebras |
| 650 | 2 | 4 | |a Number Theory |
| 655 | 4 | |a Electronic books | |
| 700 | 1 | |a Woodward, Luke, |c D. Phil |1 http://viaf.org/viaf/59409200 | |
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