Half integral weight Jacobi forms and periods¶of modular forms
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By deriving Bol's type result, we show how to construct a Jacobi form with different weight from the given Jacobi form. We also show how this analogous theory related to the classical theory of Bol by using the theta-series expansion of the Jacobi form. Furthermore, the partial converse of Bol's result involving the periods of modular forms reveals a connection between Jacobi forms and periods of modular forms.
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