| 书目名称 | Explicit Formulas |
| 副标题 | for Regularized Prod |
| 编辑 | Jay Jorgenson,Serge Lang,Dorian Goldfeld |
| 视频video | |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulas can be used to describe the quantitative behavior of various objects in analytic number theory and spectral theory. The present book deals with other applications arising from Gaussian test functions, leading to theta inversion formulas and corresponding new types of zeta functions which are Gaussian transforms of theta series rather than Mellin transforms, and satisfy additive functional equations. Their wide range of applications includes the spectral theory of a broad class of manifolds and also the theory of zeta functions in number theory and representation theory. Here the hyperbolic 3-manifolds are given as a significant example. |
| 出版日期 | Book 1994 |
| 关键词 | Analytic number theory; Spectral theory; Zeta-functions; manifold; number theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0074039 |
| isbn_softcover | 978-3-540-58673-9 |
| isbn_ebook | 978-3-540-49041-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1994 |
发表于 2025-3-21 19:07:23
