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Petersson Products of Singular and Almost Singular Theta Series

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Abstract.

We evaluate Petersson products of pairs of Siegel theta series of degree n attached to even lattices of rank m≤n. This allows us to get nice expressions, involving Dirichlet series and standard L-functions, for Petersson products of Siegel modular forms that are linear combinations of such theta series. Some applications to the theory of theta-liftings are also discussed.

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Authors and Affiliations

  1. Kunzenhof 4b, 79117, Freiburg, Germany

    S. Böcherer

  2. Universität Mannheim, Fakultät für Mathematik und Informatik, A5, 6, 68159, Mannheim, Germany

    F.L. Chiera

Authors
  1. S. Böcherer
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  2. F.L. Chiera
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Correspondence to S. Böcherer.

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Mathematics Subject Classification (2000): 11E45, 11E10, 11F27, 11F46

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Böcherer, S., Chiera, F. Petersson Products of Singular and Almost Singular Theta Series. manuscripta math. 115, 281–297 (2004). https://doi.org/10.1007/s00229-004-0500-y

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  • DOI: https://doi.org/10.1007/s00229-004-0500-y

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