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For non-cuspidal irreducible admissible representations of$\mathrm{GSp}(4,k)$ over a local non-archimedean field $k$, we determine theexceptional poles of the spinor $L$-factor attached to anisotropic Besselmodels by Piatetski-Shapiro.

Exceptional poles of local spinor $L$-functions of $\mathrm{GSp}(4)$ with anisotropic Bessel models