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arxiv: 1510.08395 · v1 · pith:ZUS4BKGVnew · submitted 2015-10-28 · 🧮 math.NT · math.RT

Arthur's multiplicity formula for certain inner forms of special orthogonal and symplectic groups

classification 🧮 math.NT math.RT
keywords arthurformulagroupinnermultiplicityorthogonalplacesspecial
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Let G be a special orthogonal group or an inner form of a symplectic group over a number field F such that there exists a non-empty set S of real places of F at which G has discrete series and outside of which G is quasi-split. We prove Arthur's multiplicity formula for automorphic representations of G having algebraic regular infinitesimal character at all places in S.

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