Small degree Salem numbers with trace -3
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929303099277312 |
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| author | Sac-Épée, Jean-Marc |
| author_facet | Sac-Épée, Jean-Marc |
| contents | The contribution of this work is to provide tables of Salem numbers with trace -3 and small degrees, namely degrees 2d = 34, 36, 38, and 40. The implemented method also generates a list of totally positive polynomials of degrees d = 17, 18, 19, and 20, with trace 2d - 3, a single root strictly greater than 4, and all other roots strictly between 0 and 4. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_03288 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Small degree Salem numbers with trace -3 Sac-Épée, Jean-Marc Number Theory 11K16 The contribution of this work is to provide tables of Salem numbers with trace -3 and small degrees, namely degrees 2d = 34, 36, 38, and 40. The implemented method also generates a list of totally positive polynomials of degrees d = 17, 18, 19, and 20, with trace 2d - 3, a single root strictly greater than 4, and all other roots strictly between 0 and 4. |
| title | Small degree Salem numbers with trace -3 |
| topic | Number Theory 11K16 |
| url | https://arxiv.org/abs/2404.03288 |