L-functions and theta correspondence for classical groups
L-functions and theta correspondence for classical groups
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DOI：
10.1007/s00222-013-0476-x
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发表时间：
2014
影响因子：
3.1
通讯作者：
Shunsuke Yamana
中科院分区：
文献类型：
--
作者：
Shunsuke Yamana
利用Piatetski-Shapiro和Rallis的加倍方法，我们发展了经典群表示的局部因子理论，并利用L-函数的解析性质和局部θ对应给出了整体θ提升不为零的充分必要条件.
Using the doubling method of Piatetski-Shapiro and Rallis, we develop a theory of local factors of representations of classical groups and apply it to give a necessary and sufficient condition for nonvanishing of global theta liftings in terms of analytic properties of theL-functions and local theta correspondence.