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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.00467 |
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| _version_ | 1866916501280260096 |
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| author | del Castillo, Héctor Lomelí, Luis |
| author_facet | del Castillo, Héctor Lomelí, Luis |
| contents | We prove Kim's Assumtion A for the split classical groups in positive characteristic. Actually, we work in the slightly more general setting of groups of classical kind, which includes quasi-split classical groups and generalized spinor groups. We establish our results whenever a local Ramanujan bound holds; a bound that is known for the split classical groups in characteristic $p$, and we prove it for groups of classical kind under a local-global restriction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00467 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Kim's Assumption A over function fields del Castillo, Héctor Lomelí, Luis Number Theory 11F70, 22E50, 22E55 We prove Kim's Assumtion A for the split classical groups in positive characteristic. Actually, we work in the slightly more general setting of groups of classical kind, which includes quasi-split classical groups and generalized spinor groups. We establish our results whenever a local Ramanujan bound holds; a bound that is known for the split classical groups in characteristic $p$, and we prove it for groups of classical kind under a local-global restriction. |
| title | On Kim's Assumption A over function fields |
| topic | Number Theory 11F70, 22E50, 22E55 |
| url | https://arxiv.org/abs/2412.00467 |