28 citations · 86 across the 22 of their papers we have counts for
11 papers · 1 filter
On a certain metaplectic Eisenstein series and the twisted symmetric square L-function
Shuichiro Takeda
In our earlier paper, based on a paper by Bump and Ginzburg, we used an Eisenstein series on the double cover of GL(r) to obtain an integral representation of the twisted symmetric…
A proof of the Howe duality conjecture
Wee Teck Gan, Shuichiro Takeda
We give a proof of the Howe duality conjecture in local theta correspondence for symplectic-orthogonal or unitary dual pairs in arbitrary residual characteristic.
On the Howe duality conjecture in classical theta correspondence
Wee Teck Gan, Shuichiro Takeda
We give a proof of the Howe duality conjecture for the (almost) equal rank dual pairs in full generality. For arbitrary dual pairs, we prove the irreducibility of the (small) theta…
The Regularized Siegel-Weil Formula (The Second Term Identity) and the Rallis Inner Product Formula
Wee Teck Gan, Yannan Qiu, Shuichiro Takeda
In this paper, we establish the second term identity of the Siegel-Weil formula in full generality, and derive the Rallis inner product formula for global theta lifts for any dual…
The twisted symmetric square -function of
Shuichiro Takeda
In this paper, we consider the (partial) symmetric square -function of an irreducible cuspidal automorphic representation of $\GL_r(\A)$ twisted by…
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…