The adjointness of the maps between the space of Jacobi forms and the space of modular forms

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概要

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• M. Eichler and D. Zagier constructed a map from a space of Jacobi forms to a space of elliptic modular forms. On the other hand, T. Satoh constructed a map from a space of cusp forms to a space of Jacobi cusp forms. In this paper, we prove a conjecture of N. P. Skoruppa to the effect that these maps are, up to constant, adjoint with respect to the Petersson products.

• 東北大学の論文

著者

• Tokuno Yasushi

  Miyagi National College Of Technology

関連論文

• On the Fourier coefficients of modular forms of half integral weightbelonging to Kohnen's spaces and the critical values of zetafunctions
• The adjointness of the maps between the space of Jacobi forms and the space of modular forms

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