A certain Galois action on nearly holomorphic modular forms with respect to a unitary group in three variables

Atsuo YAMAUCHI

doi:10.2969/jmsj/1191418761

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

A certain Galois action on nearly holomorphic modular forms with respect to a unitary group in three variables

Atsuo YAMAUCHI

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

JOURNAL FREE ACCESS

2003 Volume 55 Issue 4 Pages 995-1031

DOI https://doi.org/10.2969/jmsj/1191418761

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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.

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