Abstract

We construct an Eichler–Zagier map for Jacobi cusp forms of half-integral weight. As an application, we show there exists no Hecke-equivariant map from index 1 to index p (p prime), when the weight is half-integral.

Keywords

Modular forms, Siegel modular forms, Jacobi forms

Mathematical Subject Classification

Primary: 11F11, 11F50

Secondary: 11F37

Authors