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Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields (Lecture Notes in Mathematics)
Hatice Boylan
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Description for Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields (Lecture Notes in Mathematics)
Paperback. Series: Lecture Notes in Mathematics. Num Pages: 130 pages, 3 black & white tables, biography. BIC Classification: PBH. Category: (P) Professional & Vocational. Dimension: 162 x 237 x 11. Weight in Grams: 246.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2014
Publisher
Springer
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
130
Place of Publication
Cham, Switzerland
ISBN
9783319129150
SKU
V9783319129150
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields (Lecture Notes in Mathematics)
“The classical theory of Jacobi forms, and its connections to elliptic modular forms, have been a constant subject of research for many decades. … this book is valuable contribution to the mathematical society, and serves as a welcoming invitation to anyone who finds interest in engaging him/herself in researching this beautiful new theory.” (Shaul Zemel, zbMATH 1317.11002, 2015)