On matrix Kloosterman sums and Hall-Littlewood polynomials
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866915085754040320 |
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| author | Zelingher, Elad |
| author_facet | Zelingher, Elad |
| contents | We prove an identity relating twisted matrix Kloosterman sums to modified Hall-Littlewood polynomials evaluated at the roots of the characteristic polynomial associated to a twisted Kloosterman sheaf. This solves a conjecture of Erdélyi and Tóth. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13121 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On matrix Kloosterman sums and Hall-Littlewood polynomials Zelingher, Elad Number Theory Representation Theory 20C33, 11L05, 11T24, 15A21, 05E05 We prove an identity relating twisted matrix Kloosterman sums to modified Hall-Littlewood polynomials evaluated at the roots of the characteristic polynomial associated to a twisted Kloosterman sheaf. This solves a conjecture of Erdélyi and Tóth. |
| title | On matrix Kloosterman sums and Hall-Littlewood polynomials |
| topic | Number Theory Representation Theory 20C33, 11L05, 11T24, 15A21, 05E05 |
| url | https://arxiv.org/abs/2312.13121 |