Differential operators for Hermitian Jacobi forms and Hermitian modular forms |
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Authors: | James D Martin Jayantha Senadheera |
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Institution: | 1.Department of Mathematics,University of North Texas,Denton,USA;2.Department of Mathematics and Computer Science, Faculty of Natural Sciences,The Open University of Sri Lanka,Nawala,Sri Lanka |
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Abstract: | Kim (Arch Math (Basel) 79(3):208–215, 2002) constructs multilinear differential operators for Hermitian Jacobi forms and Hermitian modular forms. However, her work relies on incorrect actions of differential operators on spaces of Hermitian Jacobi forms and Hermitian modular forms. In particular, her results are incorrect if the underlying field is the Gaussian number field. We consider more general spaces of Hermitian Jacobi forms and Hermitian modular forms over \(\mathbb {Q}(i)\), which allow us to correct the corresponding results in Kim (2002). |
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