Fourier coefficients of generalized Eisenstein series of degree two. II.

Abstract

of representatives of the left cosets of F. modulo A .... M(Z> = (AZ+ B)(CZ +D)t, M(Z)* is the square matrix formed by the first (r, r)-entries of M (Z) , and I CZ + D ] is the determinant of CZ + D. We understand that a cusp form of degree zero means a constant function. Then, Ek.,,(Z,f) represents a Siegel modular form of degree n and weight k satisfying 9 E~(* , f ) = .-1,~(*,f) for r<n ' for r=n,