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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...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
Springer
2008
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1007/978-3-540-74776-5 http://cds.cern.ch/record/1691715 |
| _version_ | 1780935813552406528 |
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| author | Sautoy, Marcus du Woodward, Luke |
| author_facet | Sautoy, Marcus du Woodward, Luke |
| author_sort | Sautoy, Marcus du |
| collection | CERN |
| description | 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. |
| id | cern-1691715 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2008 |
| publisher | Springer |
| record_format | invenio |
| spelling | cern-16917152021-04-21T21:07:40Zdoi:10.1007/978-3-540-74776-5http://cds.cern.ch/record/1691715engSautoy, Marcus duWoodward, LukeZeta functions of groups and ringsMathematical Physics and MathematicsZeta 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.Springeroai:cds.cern.ch:16917152008 |
| spellingShingle | Mathematical Physics and Mathematics Sautoy, Marcus du Woodward, Luke Zeta functions of groups and rings |
| title | Zeta functions of groups and rings |
| title_full | Zeta functions of groups and rings |
| title_fullStr | Zeta functions of groups and rings |
| title_full_unstemmed | Zeta functions of groups and rings |
| title_short | Zeta functions of groups and rings |
| title_sort | zeta functions of groups and rings |
| topic | Mathematical Physics and Mathematics |
| url | https://dx.doi.org/10.1007/978-3-540-74776-5 http://cds.cern.ch/record/1691715 |
| work_keys_str_mv | AT sautoymarcusdu zetafunctionsofgroupsandrings AT woodwardluke zetafunctionsofgroupsandrings |