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Congruence properties of Hermitian modular forms

Author(s): Toshiyuki Kikuta; Shoyu Nagaoka
Journal: Proc. Amer. Math. Soc.
MSC (2000): Primary 11F33; Secondary 11F55
Posted: September 25, 2008
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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.

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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

DOI: 10.1090/S0002-9939-08-09646-9
PII: S 0002-9939(08)09646-9
Keywords: Congruences for modular and $ p$-adic modular forms
Received by editor(s): April 1, 2008
Posted: September 25, 2008
Additional Notes: The second author was supported in part by Grant-in-Aid for Scientific Research 19540061.
Dedicated: In celebration of Tomoyoshi Ibukiyama's 60th birthday
Communicated by: Wen-Ching Winnie Li
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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