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On the non-vanishing of the central value of certain $L$-functions: unitary groups

On the non-vanishing of the central value of certain $L$-functions: unitary groups

Let \pi be an irreducible cuspidal automorphic representation of a quasi-split unitary group U _\mathfrak n defined over a number field F . Under the assumption that \pi has a generic global Arthur parameter, we establish the non-vanishing of the central value of L -functions, L(1/2,\pi\times\chi) , with a certain …