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Dirichlet Series and Automorphic Forms on Unitary Groups
In a special case our unitary group takes the form \[ G = \{ g \in {\text {GL}}(p + 2,{\mathbf {C}}){|^t}\bar gRg = R\} .\] Here \[ R = \left ( {\begin {array}{*{20}{c}} S & 0 & 0 \\ 0 & 0 & 1 \\ 0 & { - 1} …