Rationality of quaternionic Eisenstein series on $\mathrm{U}(2,n)$

Henry H. Kim, Yi Shan

Let $\mathbf{G}=\mathrm{U}(2,n)$ be the unitary group associated to a Hermitian space over a quadratic imaginary number field $E$. We assume that 2 is unramified in $E$, and the He…