On the mod $p$ kernel of the theta operator
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Abstract:
The theta operator is a generalization of the classical Ramanujan operator to the case of Siegel modular forms. We construct Siegel modular forms for which the images of the theta operator mod $p$ are vanishing.References
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Additional Information
- Shoyu Nagaoka
- Affiliation: Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan
- Email: nagaoka@math.kindai.ac.jp
- Received by editor(s): April 4, 2014
- Received by editor(s) in revised form: June 13, 2014, and June 16, 2014
- Published electronically: March 18, 2015
- Communicated by: Kathrin Bringmann
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 4237-4244
- MSC (2010): Primary 11F46; Secondary 11F33
- DOI: https://doi.org/10.1090/S0002-9939-2015-12567-1
- MathSciNet review: 3373923