  In this paper, we propose a formula relating certain residues of Eisenstein
series on symplectic groups. These Eisenstein series are attached to parabolic
data coming from Speh representations. The proposed formula bears a strong
similarity to the regularized Siegel-Weil formula, established by Kudla and
Rallis for symplectic-orthogonal dual pairs. Their work was later generalized
by Ikeda, Moeglin, Ichino, Yamana, Gan-Qiu-Takeda and others.
