On sesquilinear forms over finite fields
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910272183074816 |
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| author | Chen, Ruikai |
| author_facet | Chen, Ruikai |
| contents | We develop a theory of sesquilinear forms over finite fields, investigating their representations via polynomials and coefficient matrices, along with classification results for these forms. Through their connection to quadratic forms, we calculate certain character sums to resolve enumeration problems for equations defined by sesquilinear forms. This provides a characterization of a class of maximal or minimal Artin-Schreier curves with explicit examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23099 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On sesquilinear forms over finite fields Chen, Ruikai Number Theory We develop a theory of sesquilinear forms over finite fields, investigating their representations via polynomials and coefficient matrices, along with classification results for these forms. Through their connection to quadratic forms, we calculate certain character sums to resolve enumeration problems for equations defined by sesquilinear forms. This provides a characterization of a class of maximal or minimal Artin-Schreier curves with explicit examples. |
| title | On sesquilinear forms over finite fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2506.23099 |