## Fourier Expansion of Holomorphic Siegel Modular Forms of Genus $n$ along the Minimal Parabolic Subgroup

J. Math. Sci. Univ. Tokyo
Vol. 10 (2003), No. 2, Page 311--353.

Narita, Hiro-aki
Fourier Expansion of Holomorphic Siegel Modular Forms of Genus $n$ along the Minimal Parabolic Subgroup
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Abstract:
The aim of this paper is to establish a theory of Fourier expansion of holomorphic Siegel modular forms of genus $n$ along the minimal parabolic subgroup. There are two known Fourier expansions of holomorphic Siegel modular forms, i.e. classical Fourier expansion and Fourier-Jacobi expansion (cf. \S6). We also give a comparison of our expansion with them.

Mathematics Subject Classification (2000): Primary 11F30; Secondary 11F46
Mathematical Reviews Number: MR1987135

Received: 2002-04-22