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arXiv · 1711.07409

Regular poles for spinor $L$-series attached to split Bessel models of $\mathrm{GSp}(4)$

Mirko Rösner·Rainer Weissauer
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Abstract

For irreducible smooth representations $\Pi$ of $\mathrm{GSp}(4,k)$ over a non-archimedean local field $k$, Piatetskii-Shapiro and Soudry have constructed an $L$-factor depending on the choice of a Bessel model. It factorizes into a regular part and an exceptional part. We determine the regular part for the case of split Bessel models.

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Mirko Rösner, Rainer Weissauer. 2017-11-20. Regular poles for spinor $L$-series attached to split Bessel models of $\mathrm{GSp}(4)$. https://doi.org/10.2140/pjm.2025.337.137

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