Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields

• Main Author: Boylan, Hatice (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Lecture Notes in Mathematics, 2130
• Subjects: Mathematics.; Number theory.; Number Theory.

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 form...

Table of Contents:

• Introduction
• Notations
• Finite  Quadratic  Modules
• Weil Representations of Finite  Quadratic  Modules
• Jacobi Forms over Totally Real Number  Fields
• Singular Jacobi Forms
• Tables
• Glossary.