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math.NT2009★ 4 cited
On the regularized Siegel-Weil formula (the second term identity) and non-vanishing of theta lifts from orthogonal groups
Wee Teck Gan, Shuichiro Takeda
We derive a (weak) second term identity for the regularized Siegel-Weil formula for the even orthogonal group, which is used to obtain a Rallis inner product formula in the "second…
math.NT2007
On Shalika Periods and a Theorem of Jacquet-Martin
Wee Teck Gan, Shuichiro Takeda
Let πbe a cuspidal automorphic representation of GL_4 with central character μ^2. It is known that πhas Shalika period with respect to μif and only if the L-function L^S(s, π, \big…
math.NT2006★ 2 cited
Some local-global non-vanishing results for theta lifts from orthogonal groups
Shuichiro Takeda
We, firstly, improve a theorem of B. Roberts which characterizes non-vanishing of a global theta lift from O(X) to Sp(n) in terms of non-vanishing of local theta lifts. In particul…