Short Salem polynomials
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866916024903794688 |
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| author | McKee, James Smyth, Chris |
| author_facet | McKee, James Smyth, Chris |
| contents | We give a complete classification of all Salem polynomials of length 5. For length 6 we show that all but finitely many Salem polynomials lie in one of 12 infinite families, and subject to Lehmer's Conjecture we give a complete list of the 126 exceptions. We provide a table of short polynomials for all known Salem numbers below the smallest Pisot number. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_19013 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Short Salem polynomials McKee, James Smyth, Chris Number Theory 11R06 We give a complete classification of all Salem polynomials of length 5. For length 6 we show that all but finitely many Salem polynomials lie in one of 12 infinite families, and subject to Lehmer's Conjecture we give a complete list of the 126 exceptions. We provide a table of short polynomials for all known Salem numbers below the smallest Pisot number. |
| title | Short Salem polynomials |
| topic | Number Theory 11R06 |
| url | https://arxiv.org/abs/2605.19013 |