Exceptional poles of local L-functions for GSp(4) with respect to split Bessel models

This paper deals with the local nonarchimedean L-factors of the Piateskii-Shapiro L-series for automorphic representations of the group GSp(4). The local factors may have exceptional poles that a priori depend on the choice of a Bessel model. We compute the exceptional local L-factors for split Bessel models and show their independence from the choice of the Bessel model. This complements previous results on the regular part of these L-factors.(c) 2022 Elsevier Inc. All rights reserved.