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 Piateskii-Shapiro L-series for automorphic representations group GSp(4). The factors may have exceptional poles that a priori depend on choice Bessel model. We compute split models and show their independence from complements previous results regular part these L-factors.