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arXiv · 1712.06370

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

Rainer Weissauer
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Abstract

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 $\Pi$.

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Rainer Weissauer. 2017-12-18. Exceptional poles of local $L$-functions for $GSp(4)$ with respect to split Bessel models. https://arxiv.org/abs/1712.06370

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