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Titlebook: Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields; Hatice Boylan Book 2015 Springer International Publish

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發(fā)表于 2025-3-21 18:15:00 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields
編輯Hatice Boylan
視頻videohttp://file.papertrans.cn/501/500125/500125.mp4
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
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields;  Hatice Boylan Book 2015 Springer International Publish
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
關(guān)鍵詞11F50,11F27; Automorhic forms of singular weight; Finite quadratic modules; Jacobi Forms; Weil represent
版次1
doihttps://doi.org/10.1007/978-3-319-12916-7
isbn_softcover978-3-319-12915-0
isbn_ebook978-3-319-12916-7Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing Switzerland 2015
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沙發(fā)
發(fā)表于 2025-3-21 20:22:54 | 只看該作者
Book 2015eory 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 dis
板凳
發(fā)表于 2025-3-22 02:48:03 | 只看該作者
地板
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5#
發(fā)表于 2025-3-22 12:26:20 | 只看該作者
Jacobi Forms over Totally Real Number Fields,From this chapter on, the number field . is assumed to be totally real. This restriction is necessary for guaranteeing the holomorphicity of .. As before, we shall simply write ., . for the ring of integers and different of?., respectively.
6#
發(fā)表于 2025-3-22 14:04:55 | 只看該作者
Singular Jacobi Forms,As in the previous chapter, . will denote a totally real number field. Similarly, ., . will denote the ring of integers and different of?., respectively. Moreover, we shall use . and . for the metaplectic cover of ..
7#
發(fā)表于 2025-3-22 17:34:39 | 只看該作者
978-3-319-12915-0Springer International Publishing Switzerland 2015
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9#
發(fā)表于 2025-3-23 02:26:09 | 只看該作者
Hatice BoylanPresents 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
10#
發(fā)表于 2025-3-23 08:57:44 | 只看該作者
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