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arxiv: 1602.01297 · v1 · pith:MZ2KELGHnew · submitted 2016-02-03 · 🧮 math.NT · math.RT

On the local Langlands correspondence for quasi-split even orthogonal groups

classification 🧮 math.NT math.RT
keywords arthurconjecturecorrespondencelanglandslocalquasi-splitapplicationsdiscuss
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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 Gross--Prasad conjecture for O_{n}. Also, we discuss the Arthur conjecture for O_{2n}, and establish the Arthur multiplicity formula for O_{2n}.

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