| 书目名称 | Explicit Constructions of Automorphic L-Functions |
| 编辑 | Stephen Gelbart,Ilya Piatetski-Shapiro,Stephen Ral |
| 视频video | |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | The goal of this research monograph is to derive the analytic continuation and functional equation of the .L.-functions attached by R.P. Langlands to automorphic representations of reductive algebraic groups. The first part of the book (by Piatetski-Shapiro and Rallis) deals with .L.-functions for the simple classical groups; the second part (by Gelbart and Piatetski-Shapiro) deals with non-simple groups of the form .G GL(n)., with .G. a quasi-split reductive group of split rank .n.. The method of proof is to construct certain explicit zeta-integrals of Rankin-Selberg type which interpolate the relevant Langlands .L.-functions and can be analyzed via the theory of Eisenstein series and intertwining operators. This is the first time such an approach has been applied to such general classes of groups. The flavor of the local theory is decidedly representation theoretic, and the work should be of interest to researchers in group representation theory as well as number theory. |
| 出版日期 | Book 1987 |
| 关键词 | algebra; algebraic group; number theory; representation theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0078125 |
| isbn_softcover | 978-3-540-17848-4 |
| isbn_ebook | 978-3-540-47880-5Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1987 |
发表于 2025-3-21 18:02:26
