A geometrical theory of Jacobi forms of higher degree (Q2718034)

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scientific article; zbMATH DE number 1606251
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A geometrical theory of Jacobi forms of higher degree
scientific article; zbMATH DE number 1606251

    Statements

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    17 September 2002
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    Jacobi forms
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    Siegel-Jacobi operator
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    Maass-Jacobi forms
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    survey
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    A geometrical theory of Jacobi forms of higher degree (English)
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    In this paper the author gives a survey of the geometrical theory of Jacobi forms of higher degree. In the first part, he presents a historical remark and some motivation on Jacobi forms. Some characterization of singular Jacobi forms is also given. Moreover, he gives some results of the Siegel-Jacobi operator. In the final part, he introduces the notion of Maass-Jacobi forms. This is a good survey for the geometrical theory of Jacobi forms.
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