Regular poles for spinor $L$-series attached to split Bessel models of $\mathrm{GSp}(4)$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2017
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| _version_ | 1866910983608336384 |
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| author | Rösner, Mirko Weissauer, Rainer |
| author_facet | Rösner, Mirko Weissauer, Rainer |
| contents | For irreducible smooth representations $Π$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1711_07409 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Regular poles for spinor $L$-series attached to split Bessel models of $\mathrm{GSp}(4)$ Rösner, Mirko Weissauer, Rainer Representation Theory 22E50 (Primary) 11F46, 11F70, 20G05 (Secondary) For irreducible smooth representations $Π$ 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. |
| title | Regular poles for spinor $L$-series attached to split Bessel models of $\mathrm{GSp}(4)$ |
| topic | Representation Theory 22E50 (Primary) 11F46, 11F70, 20G05 (Secondary) |
| url | https://arxiv.org/abs/1711.07409 |