| 书目名称 | Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields | | 编辑 | Hatice Boylan | | 视频video | | | 概述 | Presents a theory which is intended to open new directions of research in the theory of Hilbert modular forms.Provides a steep introduction to Weil representations of Hilbert modular groups.Provides t | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | The new theory of Jacobi forms over totally real number fields introduced in this monograph is expected to give further insight into the arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields. This work is inspired by the classical theory of Jacobi forms over the rational numbers, which is an indispensable tool in the arithmetic theory of elliptic modular forms, elliptic curves, and in many other disciplines in mathematics and physics. Jacobi forms can be viewed as vector valued modular forms which take values in so-called Weil representations. Accordingly, the first two chapters develop the theory of finite quadratic modules and associated Weil representations over number fields. This part might also be interesting for those who are merely interested in the representation theory of Hilbert modular groups. One of the main applications is the complete classification of Jacobi forms of singular weight over an arbitrary totally real number field. | | 出版日期 | Book 2015 | | 关键词 | 11F50,11F27; Automorhic forms of singular weight; Finite quadratic modules; Jacobi Forms; Weil represent | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-12916-7 | | isbn_softcover | 978-3-319-12915-0 | | isbn_ebook | 978-3-319-12916-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer International Publishing Switzerland 2015 |
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发表于 2025-3-21 18:15:00
