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L-functions on $GSp_2 \times Gl_2$ of mixed weights

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Abstract.

In this paper we investigate the properties of the automorphic (standard) L-function on \(GSp_2 \times Gl_2\) for the case, where the automorphic form comes from a holomorphic Siegel modular form and a holomorphic elliptic modular form. To cover arbitrary weights, we use two different types of differential operators.

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Authors and Affiliations

  1. Fakultät für Mathematik und Informatik, Seminargebäude A5, 68131 Mannheim, Germany (boech@siegel.math.uni-mannheim.de), , , , , , DE

    S. Böcherer

  2. Max-Planck Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany (heim@mpim-bonn.mpg.de / heim@math.uni-mannheim.de), , , , , , DE

    B. Heim

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  1. S. Böcherer
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  2. B. Heim
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Received March 23, 1999 / Published online July 20, 2000

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Böcherer, S., Heim, B. L-functions on $GSp_2 \times Gl_2$ of mixed weights. Math Z 235, 11–51 (2000). https://doi.org/10.1007/s002090000121

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  • DOI: https://doi.org/10.1007/s002090000121

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