Eisenstein series on quaternion half-space of degree N

In Kim 7], we studied an Eisenstein series on quaternion half-space of degree 2. By calculating the Siegel series using the method of Karel 5], we obtained the analytic continuation and functional equation of the Eisenstein series. In this note we study an Eisenstein series on quaternion half-space of degreen. By calculating the Siegel series in an analogous way as in Shimura 15] and Kitaoka 8], we obtain singular modular forms of weightk, k<2n and 4/k. Furthermore, we obtain the analytic continuation and functional equation of the Eisenstein series.