On Eisenstein series for the Hermitian modular groups and the Jacobi groups (Q1261179)

Let \(K\) be an imaginary quadratic number field of class number 1. As an application of his earlier paper [Abh. Math. Semin. Univ. Hamb. 59, 235- 262 (1989; Zbl 0707.11036)] the author derives the meromorphic continuation and functional equation under \(s\to 4-2k-s\) of the Hermitian Eisenstein series of degree 2 and weight \(k\) attached to \(K\). This leads to an explicit formula for the Fourier coefficients of the Hermitian Eisenstein series just as obtained by the reviewer [Math. Ann. 289, 663- 681 (1991; Zbl 0713.11033)]. In the second part the author studies the Eisenstein series for the Hermitian Jacobi modular group acting on \(\mathbb{H}\times\mathbb{C}^ 2\) and derives the functional equation by calculating the Fourier expansion explicitly.