Abstract
We show that certain paramodular cuspidal automorphic irreducible representations of \({\mathrm {GSp}}(4,\mathbb {A}_{\mathbb {Q}})\), which are not CAP, are globally generic. This implies a multiplicity one theorem for paramodular cuspidal automorphic representations. Our proof relies on a reasonable hypothesis concerning the non-vanishing of central values of automorphic L-series.
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