42 citations · 82 across the 21 of their papers we have counts for
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math.RT2016
On the non-vanishing of theta liftings of tempered representations of U(p,q)
Hiraku Atobe
In this paper, we give an explicit determination of the non-vanishing of the theta liftings for unitary dual pairs (U(p,q), U(r,s)). Assuming the local Gan-Gross-Prasad conjecture,…
math.NT2016★ 42 cited
Local Theta correspondence of Tempered Representations and Langlands parameters
Hiraku Atobe, Wee Teck Gan
In this paper, we give an explicit determination of the theta lifting for symplectic-orthogonal and unitary dual pairs over a nonarchimedean field of characteristic . We det…
math.NT2016★ 5 cited
On the local Langlands correspondence for quasi-split even orthogonal groups
Hiraku Atobe, Wee Teck Gan
In this paper, we highlight and state precisely the local Langlands correspondence for quasi-split O_{2n} established by Arthur. We give two applications: Prasad's conjecture and G…