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

Abstract

Let G be a special orthogonal group or an inner form of a symplectic group over a number eld 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 in nitesimal character at all places in S.