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Jacobi forms, finite quadratic modules and Weil representations over number fields[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	512.7
書名/作者:	Jacobi forms, finite quadratic modules and Weil representations over number fields/ by Hatice Boylan.
作者:	Boylan, Hatice.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	xix, 130 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Jacobi forms.
標題:	Mathematics.
標題:	Number theory.
標題:	Number Theory.
ISBN:	9783319129167 (electronic bk.)
ISBN:	9783319129150 (paper)
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-12916-7

Jacobi forms, finite quadratic modules and Weil representations over number fields[electronic resource] /
Boylan, Hatice.

Jacobi forms, finite quadratic modules and Weil representations over number fields[electronic resource] /by Hatice Boylan. - Cham :Springer International Publishing :2015. - xix, 130 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21300075-8434 ;. - Lecture notes in mathematics ;2035..

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.

ISBN: 9783319129167 (electronic bk.)

Standard No.: 10.1007/978-3-319-12916-7doiSubjects--Topical Terms:

605629
Jacobi forms.

LC Class. No.: QA243

Dewey Class. No.: 512.7

Jacobi forms, finite quadratic modules and Weil representations over number fields[electronic resource] /
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