Certain Rankin-Selberg integral for unitary groups

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概要

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• 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.

• 東北大学の論文

著者

• Tsuzuki Masao

  Department Of Mathematics Sophia University

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