Open Access
October, 2003 A certain Galois action on nearly holomorphic modular forms with respect to a unitary group in three variables
Atsuo YAMAUCHI
J. Math. Soc. Japan 55(4): 995-1031 (October, 2003). DOI: 10.2969/jmsj/1191418761

Abstract

In this paper we will consider Fourier-Jacobi expansions of nearly holomorphic modular forms on SU(2,1), whose coefficients are nearly holomorphic theta functions, and will construct a certain Galois action on them.

Citation

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Atsuo YAMAUCHI. "A certain Galois action on nearly holomorphic modular forms with respect to a unitary group in three variables." J. Math. Soc. Japan 55 (4) 995 - 1031, October, 2003. https://doi.org/10.2969/jmsj/1191418761

Information

Published: October, 2003
First available in Project Euclid: 3 October 2007

zbMATH: 1161.11338
MathSciNet: MR2003757
Digital Object Identifier: 10.2969/jmsj/1191418761

Subjects:
Primary: 11F37
Secondary: 11F30

Keywords: Fourier-Jacobi expansion , Galois action , nearly holomorphic modular form , unitary group

Rights: Copyright © 2003 Mathematical Society of Japan

Vol.55 • No. 4 • October, 2003
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