An integral representation of automorphic L-function for quasi-split unitary groups
by Qin Yujun
THESIS
2004
Ph.D. Mathematics
vii, 62 leaves ; 30 cm
Abstract
In this thesis, we obtain an Euler product expansion of a Shimura integral over the unitary group U(n, n). This gives an integral representation of the standard Langlands L-function of a cuspidal automorphic representation of the group U (n, n) , attached to a 4n dimensional representation of its L-group. Our method is parallel to that of Piatetski-Shapiro and Rallis, who dealt with the case of symplectic groups.
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