Hecke duality relations of Jacobi forms

Details Hecke duality relations of Jacobi forms Hecke duality relations of Jacobi forms

2007-11-15

arxiv.org/abs/0711.2532v2

Mathematics

Number Theory

17 pages

Scientific paper

In this paper we introduce a new subspace of Jacobi forms of higher degree via certain relations among Fourier coefficients. We prove that this space can also be characterized by duality properties of certain distinguished embedded Hecke operators. We then show that this space is Hecke invariant with respect to all good Hecke operators. As explicit examples we give Eisenstein series. Conversely we show the existence of forms that are not contained in this space.

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