Theta correspondence and simple factors in global Arthur parameters
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866916207148400640 |
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| author | Wu, Chenyan |
| author_facet | Wu, Chenyan |
| contents | By using results on poles of $L$-functions and theta correspondence, we give a bound on $b$ for $(χ,b)$-factors of the global Arthur parameter of a cuspidal automorphic representation $π$ of a classical group or a metaplectic group where $χ$ is a conjugate self-dual automorphic character and $b$ is an integer which is the dimension of an irreducible representation of $\mathrm{SL}_{2}(\mathbf{CC})$. We derive a more precise relation when $π$ lies in a generic global $A$-packet. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_06566 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Theta correspondence and simple factors in global Arthur parameters Wu, Chenyan Number Theory 11F67 11F70 11F27 By using results on poles of $L$-functions and theta correspondence, we give a bound on $b$ for $(χ,b)$-factors of the global Arthur parameter of a cuspidal automorphic representation $π$ of a classical group or a metaplectic group where $χ$ is a conjugate self-dual automorphic character and $b$ is an integer which is the dimension of an irreducible representation of $\mathrm{SL}_{2}(\mathbf{CC})$. We derive a more precise relation when $π$ lies in a generic global $A$-packet. |
| title | Theta correspondence and simple factors in global Arthur parameters |
| topic | Number Theory 11F67 11F70 11F27 |
| url | https://arxiv.org/abs/2208.06566 |