Abstract
We consider the real rank one unitary group $G$ and its subgroup $H$ obtained as the stabilizer of an anisotropic vector in the skew-hermitian space defining $G$. We compute the inner-product of an Eisenstein series on $H$ and a non-holomorphic cuspidal Hecke eigenform on $G$ restricted to $H$ to obtain an integral representation of the standard $L$-function of the eigenform. We also discuss some consequences of the integral representation.
Citation
Masao Tsuzuki. "Certain Rankin-Selberg integral for unitary groups." Tohoku Math. J. (2) 61 (1) 115 - 164, 2009. https://doi.org/10.2748/tmj/1238764549
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