Eisenstein Series on Metaplectic Covers and Multiple Dirichlet Series
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866918045080879104 |
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| author | Chen, Yanze |
| author_facet | Chen, Yanze |
| contents | We computed the first Whittaker coefficient of an Eisenstein series on a global metaplectic group induced from the torus and related the result with a Weyl group multiple Dirichlet series attached to the (dual) root system of the group under a mild assumption on the root system and the degree of the metaplectic cover. This confirms a conjecture of Brubaker-Bump-Friedberg. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_13143 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Eisenstein Series on Metaplectic Covers and Multiple Dirichlet Series Chen, Yanze Number Theory Representation Theory We computed the first Whittaker coefficient of an Eisenstein series on a global metaplectic group induced from the torus and related the result with a Weyl group multiple Dirichlet series attached to the (dual) root system of the group under a mild assumption on the root system and the degree of the metaplectic cover. This confirms a conjecture of Brubaker-Bump-Friedberg. |
| title | Eisenstein Series on Metaplectic Covers and Multiple Dirichlet Series |
| topic | Number Theory Representation Theory |
| url | https://arxiv.org/abs/2411.13143 |