ABSTRACT OF THE DISSERTATION Jacobi Forms over Number Fields by Howard Skogman We define Jacobi Forms over an algebraic number field $K$ and construct examples by first embedding the group and the space into the symplectic group and the symplectic upper half space respectively. We then create symplectic modular forms and create Jacobi forms by taking the appropriate Fourier coefficients. We also prove some relations of these Jacobi forms over certain fields to other types of modular forms. |