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

Nonfiction, Science & Nature, Mathematics, Number Theory
Cover of the book Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields by Hatice Boylan, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Hatice Boylan ISBN: 9783319129167
Publisher: Springer International Publishing Publication: December 5, 2014
Imprint: Springer Language: English
Author: Hatice Boylan
ISBN: 9783319129167
Publisher: Springer International Publishing
Publication: December 5, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Ethnocultural Diversity and the Home-to-School Link by Hatice Boylan
Cover of the book Advances in Psychology and Law by Hatice Boylan
Cover of the book Behavior Modeling -- Foundations and Applications by Hatice Boylan
Cover of the book Algorithms and Architectures for Parallel Processing by Hatice Boylan
Cover of the book Urban Infrastructure Research by Hatice Boylan
Cover of the book An Intelligent Customer Complaint Management System with Application to the Transport and Logistics Industry by Hatice Boylan
Cover of the book Pot-Pollen in Stingless Bee Melittology by Hatice Boylan
Cover of the book Rape Culture, Gender Violence, and Religion by Hatice Boylan
Cover of the book Multiplicity and Ontology in Deleuze and Badiou by Hatice Boylan
Cover of the book Boko Haram by Hatice Boylan
Cover of the book Education, Sustainability and the Ecological Social Imaginary by Hatice Boylan
Cover of the book Intelligent Methods for Cyber Warfare by Hatice Boylan
Cover of the book Animal Rights Education by Hatice Boylan
Cover of the book Game Theory for Networking Applications by Hatice Boylan
Cover of the book Service Orientation in Holonic and Multi-Agent Manufacturing by Hatice Boylan
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy