An integral representation of standard automorphic \(L\) functions for unitary groups (Q925330)

In [J. Reine Angew. Math. 392, 110--124 (1988; Zbl 0651.10021)], \textit{I. I. Piatetski-Shapiro} and \textit{S. Rallis} construct a Rankin-Selberg integral for symplectic group \(G= \text{SP}(2n)\) to represent the partial \(L\) function of a cuspidal representation of \(G(A)\). In this paper, the author shows that the (partial) \(L\) function of an irreducible cuspidal automorphic representation \(\pi\) of a quasi-split unitary group of rank \(n\) can be represented by a Rankin-Selberg type integral involving cusp forms of \(\pi\), Eisenstein series, and theta series.