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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2409.00401 |
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| _version_ | 1866913487993700352 |
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| author | Hirano, Miki Ishii, Taku Miyazaki, Tadashi |
| author_facet | Hirano, Miki Ishii, Taku Miyazaki, Tadashi |
| contents | We give explicit formulas of Whittaker functions on GL(4,R) for all irreducible generic representations. As an application, we determine test vectors which attain the associated L-factors for Bump-Friedberg integrals on GL(4,R). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_00401 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Whittaker functions on GL(4,R) and archimedean Bump--Friedberg integrals Hirano, Miki Ishii, Taku Miyazaki, Tadashi Number Theory Representation Theory We give explicit formulas of Whittaker functions on GL(4,R) for all irreducible generic representations. As an application, we determine test vectors which attain the associated L-factors for Bump-Friedberg integrals on GL(4,R). |
| title | Whittaker functions on GL(4,R) and archimedean Bump--Friedberg integrals |
| topic | Number Theory Representation Theory |
| url | https://arxiv.org/abs/2409.00401 |