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.
| Date of Award | 2004 |
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| Original language | English |
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| Awarding Institution | - The Hong Kong University of Science and Technology
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An integral representation of automorphic L-function for quasi-split unitary groups
Qin, Y. (Author). 2004
Student thesis: Doctoral thesis