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Ralf Schmidt

On classical Saito-Kurokawa liftings

There exist two different generalizations of the classical Saito-Kurokawa lifting to modular forms with (square-free) level; one lifting produces modular forms with respect to &Ggr;₀(m), the other one with respect to the paramodular group &Ggr;^para(m). We shall give an alternative and unified construction of both liftings using group theoretic methods. The construction shows that a single elliptic modular form may in fact have many Saito-Kurokawa liftings. We also obtain precise information about the spin L-function of the resulting Siegel modular forms.

Journal fur die reine und angewandte Mathematik (Crelles Journal), Walter de Gruyter

Print ISSN: 0075-4102
Volume: 2007, 03/2007
Pages: 211 - 236

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