Abstract
We prove that there exist Salem numbers with trace –3 and every even degree (Formula presented.). Our proof combines a theoretical approach, which allows us to treat all sufficiently large degrees, with a numerical search for small degrees. Since it is known that there are no Salem numbers of trace –3 and degree (Formula presented.), our result is optimal up to possibly the single value 32, for which it is expected there are no such numbers.
| Original language | English |
|---|---|
| Journal | Experimental Mathematics |
| DOIs | |
| Publication status | E-pub ahead of print - 14 Apr 2024 |
| MoE publication type | A1 Journal article-refereed |
Keywords
- cyclotomic
- interlacing
- polynomial
- Salem number
- trace
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01/09/2022 → 31/08/2026
Project: RCF Academy Project
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01/02/2022 → 31/12/2023
Project: Other Domestic (20 FC)
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Hollanti_ICT: Secure Distributed Computation Schemes with Applications to Digitalized Remote Healthcare
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01/01/2021 → 31/12/2023
Project: RCF Academy Project
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