## Journal of the Mathematical Society of Japan

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

Atsuo YAMAUCHI

#### 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.

#### Article information

Source
J. Math. Soc. Japan, Volume 55, Number 4 (2003), 995-1031.

Dates
First available in Project Euclid: 3 October 2007

https://projecteuclid.org/euclid.jmsj/1191418761

Digital Object Identifier
doi:10.2969/jmsj/1191418761

Mathematical Reviews number (MathSciNet)
MR2003757

Zentralblatt MATH identifier
1161.11338

#### Citation

YAMAUCHI, Atsuo. A certain Galois action on nearly holomorphic modular forms with respect to a unitary group in three variables. J. Math. Soc. Japan 55 (2003), no. 4, 995--1031. doi:10.2969/jmsj/1191418761. https://projecteuclid.org/euclid.jmsj/1191418761