On Rankin-Cohen brackets for Siegel modular forms
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- by Özlem Imamoglu and Olav K. Richter PDF
- Proc. Amer. Math. Soc. 134 (2006), 995-1001 Request permission
Abstract:
We determine an explicit formula for a Rankin-Cohen bracket for Siegel modular forms of degree $n$ on a certain subgroup of the symplectic group. Moreover, we lift that bracket via a Poincaré series to a Siegel cusp form on the full symplectic group.References
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Additional Information
- Özlem Imamoglu
- Affiliation: Department of Mathematics, Eidgenössische Technische Hochschule, CH-8092, Zürich, Switzerland
- Email: ozlem@math.ethz.ch
- Olav K. Richter
- Affiliation: Department of Mathematics, University of North Texas, Denton, Texas 76203
- ORCID: 0000-0003-3886-0893
- Email: richter@unt.edu
- Received by editor(s): November 8, 2004
- Published electronically: October 7, 2005
- Additional Notes: The first author was partially supported by the NSF
- Communicated by: David E. Rohrlich
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 995-1001
- MSC (2000): Primary 11F46; Secondary 11F50, 11F60
- DOI: https://doi.org/10.1090/S0002-9939-05-08270-5
- MathSciNet review: 2196030