Open Access
January, 2011 On Hermitian modular forms mod p
Toshiyuki KIKUTA, Shoyu NAGAOKA
J. Math. Soc. Japan 63(1): 211-238 (January, 2011). DOI: 10.2969/jmsj/06310211

Abstract

We generalize the notion of modular forms mod p to the case of Hermitian modular forms. Moreover we determine the structure of the algebra of degree 2 Hermitian modular forms mod p in the cases that the corresponding quadratic field is Q($\sqrt{-1}$) and Q($\sqrt{-3}$).

Citation

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Toshiyuki KIKUTA. Shoyu NAGAOKA. "On Hermitian modular forms mod p." J. Math. Soc. Japan 63 (1) 211 - 238, January, 2011. https://doi.org/10.2969/jmsj/06310211

Information

Published: January, 2011
First available in Project Euclid: 27 January 2011

zbMATH: 1264.11040
MathSciNet: MR2752438
Digital Object Identifier: 10.2969/jmsj/06310211

Subjects:
Primary: 11F55
Secondary: 11F33

Keywords: Congruences for modular forms , Hermitian modular forms

Rights: Copyright © 2011 Mathematical Society of Japan

Vol.63 • No. 1 • January, 2011
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