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- W2867463174 abstract "We introduce a plus-space of Jacobi forms, which is a certain subspace of Jacobi forms of half-integral weight of matrix index. This is an analogue to the Kohnen plus-space in the framework of Jacobi forms. We shall show a linear isomorphism between the plus-space of Jacobi forms and the space of Jacobi forms of integral weight of certain matrix index. Moreover, we shall show that this linear isomorphism is compatible with the action of Hecke operators of both spaces. This result is a kind of generalization of Eichler-Zagier-Ibukiyama correspondence, which is an isomorphism between the generalized plus-space of Siegel modular forms of general degree and Jacobi forms of index $1$ of general degree." @default.
- W2867463174 created "2018-07-19" @default.
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- W2867463174 date "2018-07-01" @default.
- W2867463174 modified "2023-09-26" @default.
- W2867463174 title "ON KOHNEN PLUS-SPACE OF JACOBI FORMS OF HALF INTEGRAL WEIGHT OF MATRIX INDEX" @default.
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- W2867463174 doi "https://doi.org/10.18910/70084" @default.
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