Subregular Fourier-coefficient conjecture for relevant unitary Arthur packets
Subregular Fourier-coefficient conjecture for relevant unitary Arthur packets
Let be defined over with -rank , and let . Let be a generic global Arthur parameter of that is -relevant, meaning that the global Arthur packet is nonempty. Let be the partition corresponding to the -stable subregular unipotent orbit. Subregular Fourier-coefficient conjecture. There exists an automorphic member in with a nonzero Fourier coefficient associated to . This conjecture supplies the refined packet property needed to extend the paper's non-vanishing results from low-rank quasisplit groups to the general situation.
Sources & referencesView supporting material
Primary source
Dihua Jiang and Lei Zhang, “On the Non-vanishing of the Central Value of Certain L-functions: Unitary Groups”, arXiv:1806.04340 (2018).
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