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Shintani zeta functions /
The theory of prehomogeneous vector spaces is a relatively new subject although its origin can be traced back through the works of Siegel to Gauss. The study of the zeta functions related to prehomogeneous vector spaces can yield interesting information on the asymptotic properties of associated obj...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge [England] ; New York :
Cambridge University Press,
1993.
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| Colección: | London Mathematical Society lecture note series ;
183. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | The theory of prehomogeneous vector spaces is a relatively new subject although its origin can be traced back through the works of Siegel to Gauss. The study of the zeta functions related to prehomogeneous vector spaces can yield interesting information on the asymptotic properties of associated objects, such as field extensions and ideal classes. This is amongst the first books on this topic, and represents the author's deep study of prehomogeneous vector spaces. Here the author's aim is to generalise Shintani's approach from the viewpoint of geometric invariant theory, and in some special cases he also determines not only the pole structure but also the principal part of the zeta function. This book will be of great interest to all serious workers in analytic number theory. |
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| Descripción Física: | 1 online resource (xii, 339 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 331-334) and index. |
| ISBN: | 9781107361959 1107361958 9780511662331 0511662335 1139884891 9781139884891 1107366860 9781107366862 1107371538 9781107371538 1107368545 9781107368545 |