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On Saito-Kurokawa lifting to cohomological Siegel modular forms

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Abstract.

We discuss a theta lifting from to O(3,2), which will produce a certain class of residual cohomological automorphic forms on the orthogonal group. We will show an explicit formula for their Fourier expansions, in which the constant terms may also occur, by using the Fourier coefficients of a half-integral weight cusp form, which is similar to the classical formula for the holomorphic Saito-Kurokawa lifting at finite places.

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  1. Department of Mathematics, Keio University, 3-14-1 Hiyoshi, Kouhoku, Yokohama 223-8522, Japan

    Takuya Miyazaki

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  1. Takuya Miyazaki
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Correspondence to Takuya Miyazaki.

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Mathematics Subject Classification (2000): 11F46, 11F27, 11F30

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Miyazaki, T. On Saito-Kurokawa lifting to cohomological Siegel modular forms. manuscripta math. 114, 139–163 (2004). https://doi.org/10.1007/s00229-004-0453-1

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  • DOI: https://doi.org/10.1007/s00229-004-0453-1

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