Accepted to appear in New York Journal of Mathematics. - 2023
English
We prove that Novodvorsky’s definition of local L-factors for generic representations of GSp(4) × GL(2) is compatible with the local Langlands correspondence when the GL(2) representation is non-supercuspidal. We also give an interpretation in terms of Langlands parameters of the “exceptional” poles of the GSp(4) × GL(2) L-factor, and of the “subregular” poles of GSp(4) L-factors studied in recent work of Rosner and Weissauer; and deduce consequences for Gan–Gross–Prasad type branching laws, either for reducible generic representations, or for irreducible but non-generic representations.
