Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Boylan, Hatice (1979-....)
Titre(s) : Jacobi forms, finite quadratic modules and Weil representations over number fields [Texte électronique] / Hatice Boylan
Publication : Cham : Springer, cop. 2015
Description matérielle : 1 online resource
Collection : Lecture Notes in Mathematics ; 2130
Note(s) : Includes bibliographical references
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
Sujet(s) : Théorie des nombres
Jacobi, Variétés de
Formes modulaires
Weil, Groupe de
Représentations de groupes
Indice(s) Dewey :
512.7 (23e éd.) = Théorie des nombres
Identifiants, prix et caractéristiques : ISBN 9783319129167
Identifiant de la notice : ark:/12148/cb446780969
Notice n° :
FRBNF44678096
(notice reprise d'un réservoir extérieur)
Table des matières : Introduction ; Notations ; Finite Quadratic Modules ; Weil Representations of Finite
Quadratic Modules ; Jacobi Forms over Totally Real Number Fields ; Singular Jacobi
Forms ; Tables ; Glossary.
