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

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

"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)