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Exceptional poles of local $L$-functions for $GSp(4)$ with respect to split Bessel models. (arXiv:1712.06370v1 [math.NT])
来源于:arXiv
Piateskii-Shapiro defined local $L$-factors $L^{PS}(s,\Pi,\Lambda)$ attached
to irreducible admissible representations $\Pi$ of the group $GSp(4)$ over
local fields and Bessel models of $\Pi$ attached to Bessel data $\Lambda$.
These local $L$-factors decompose into a product $L^{PS}(s,\Pi,\Lambda)=
L^{PS}_{ex}(s,\Pi,\Lambda) L^{PS}_{reg}(s,\Pi,\Lambda)$ of an exceptional and a
regular $L$-factor. In this paper we compute the exceptional factors
$L^{PS}_{ex}(s,\Pi,\Lambda)$ for split Bessel models of $\Pi$. 查看全文>>
