## Fourier-Jacobi Expansion of Eisenstein Series on Unitary Groups of Degree Three

J. Math. Sci. Univ. Tokyo
Vol. 9 (2002), No. 2, Page 347--404.

Murase, Atsushi ; Sugano, Takashi
Fourier-Jacobi Expansion of Eisenstein Series on Unitary Groups of Degree Three
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Abstract:
After reformulating Shintani's theory of Fourier- Jacobi expansion of automorphic forms on $\,U(2,1)\,$ in the adelic setting, we show that the primitive components of holomorphic Eisenstein series are expressed in terms of the periods of primitive theta functions and critical values of Hecke $\,L$-functions.

Mathematics Subject Classification (1991): Primary 11F55; Secondary 11F67, 11F70
Mathematical Reviews Number: MR1904935

Received: 2001-05-28