This research explores graded modules of Jacobi forms in imaginary quadratic fields, suggesting structural insights.
In this paper, we investigate certain graded modules of Jacobi forms of matrix index over the graded ring of elliptic modular forms.We consider the case of matrix size 2. Especially we deal with matrices which are norm forms of imaginary quadratic fields whose rings of integers are Euclidean.We also determine structures of graded modules of weak Jacobi forms for a little more general case.
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Iwahori Yuki (2019) studied this question.
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