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Jacobi forms over totally real number fields

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Abstract

We define Jacobi forms over a totally real 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. Then symplectic modular forms are created and Jacobi forms arise by taking the appropriate Fourier coefficients. Also some known relations of Jacobi forms to vector valued modular forms over rational numbers are extended to totally real fields.

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  1. USC Dept. of Math DRB 155, 1042 W. 36th Place MC 1113, Los Angeles, CA, 90089-1113

    Howard Skogman

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  1. Howard Skogman
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Correspondence to Howard Skogman.

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Skogman, H. Jacobi forms over totally real number fields. Results. Math. 39, 169–182 (2001). https://doi.org/10.1007/BF03322682

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