Certain Rankin-Selberg integral for unitary groups
Tsuzuki, Masao
Tohoku Math. J. (2), Tome 61 (2009) no. 1, p. 115-164 / Harvested from Project Euclid
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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.
Publié le : 2009-05-15
Classification:  11F67,  11F55 
@article{1238764549,
     author = {Tsuzuki, Masao},
     title = {Certain Rankin-Selberg integral for unitary groups},
     journal = {Tohoku Math. J. (2)},
     volume = {61},
     number = {1},
     year = {2009},
     pages = { 115-164},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1238764549}
}

Tsuzuki, Masao. Certain Rankin-Selberg integral for unitary groups. Tohoku Math. J. (2), Tome 61 (2009) no. 1, pp.  115-164. http://gdmltest.u-ga.fr/item/1238764549/