Theta correspondence and simple factors in global Arthur parameters

Theta correspondence and simple factors in global Arthur parameters Chenyan WuBy using results on poles of L-functions and theta correspondence, we give a bound on b for (χ , b)factors of the global Arthur parameter of a cuspidal automorphic representation π of a classical group or a metaplectic group where χ is a conjugate self-dual automorphic character and b is an integer which is the dimension of an irreducible representation of SL 2 ‫.)ރ(‬We derive a more precise relation when π lies in a generic global A-packet.(0-1) MSC2020: 11F27, 11F67, 11F70.