CERTAIN RANKIN-SELBERG INTEGRALS FOR UNITARY GROUPS

摘要

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 sonic consequences of the integral representation.