Congruence properties of Hermitian modular forms
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- by Toshiyuki Kikuta and Shoyu Nagaoka PDF
- Proc. Amer. Math. Soc. 137 (2009), 1179-1184 Request permission
Abstract:
We study the existence of a modular form satisfying a certain congruence relation. The existence of such modular forms plays an important role in the determination of the structure of a ring of modular forms modulo $p$. We give a criterion for the existence of such a modular form in the case of Hermitian modular forms.References
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Additional Information
- Toshiyuki Kikuta
- Affiliation: Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan
- Email: kikuta@math.kindai.ac.jp
- 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 1, 2008
- Published electronically: September 25, 2008
- Additional Notes: The second author was supported in part by Grant-in-Aid for Scientific Research 19540061.
- Communicated by: Wen-Ching Winnie Li
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 1179-1184
- MSC (2000): Primary 11F33; Secondary 11F55
- DOI: https://doi.org/10.1090/S0002-9939-08-09646-9
- MathSciNet review: 2465638
Dedicated: In celebration of Tomoyoshi Ibukiyama’s 60th birthday