| 书目名称 | L-Functions and the Oscillator Representation |
| 编辑 | Stephen Rallis |
| 视频video | |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | These notes are concerned with showing the relation between L-functions of classical groups (*F1 in particular) and *F2 functions arising from the oscillator representation of the dual reductive pair *F1 *F3 O(Q). The problem of measuring the nonvanishing of a *F2 correspondence by computing the Petersson inner product of a *F2 lift from *F1 to O(Q) is considered. This product can be expressed as the special value of an L-function (associated to the standard representation of the L-group of *F1) times a finite number of local Euler factors (measuring whether a given local representation occurs in a given oscillator representation). The key ideas used in proving this are (i) new Rankin integral representations of standard L-functions, (ii) see-saw dual reductive pairs and (iii) Siegel-Weil formula. The book addresses readers who specialize in the theory of automorphic forms and L-functions and the representation theory of Lie groups. N |
| 出版日期 | Book 1987 |
| 关键词 | automorphic forms; lie group; representation theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0077894 |
| isbn_softcover | 978-3-540-17694-7 |
| isbn_ebook | 978-3-540-47761-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1987 |
发表于 2025-3-21 19:21:57
