On local zeta-integrals for \(\mathrm{GSp}(4)\) and \(\mathrm{GSp}(4) \times \mathrm{GL}(2)\) (Q6120524)

In the paper under the review, the author studies the local \(L\)-factors associated to irreducible smooth representations \(\pi \times \sigma\) of \(\mathrm{GSp}(4, F) \times \mathrm{GL}(2, F)\), where \(F\) denotes the non-Archimedean local field of characteristic zero. Under the assumption that \(\sigma\) is non-cuspidal, the author proves that the \(L\)-factor defined using the local Langlands correspondence agrees with the \(L\)-facotr defined using Novodvorsky's integral. Exceptional and subregular poles are also described.