A Refinement of Pohst's Inequality
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866908548304207872 |
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| author | Raposo, Gabriel |
| author_facet | Raposo, Gabriel |
| contents | We generalize an inequality conjectured by Pohst in 1977 and recently proved by the author and independently by Battistoni and Molteni. This new inequality improves a bound for the regulator in terms of the discriminant for totally real number fields by taking into account the signs of conjugates of the fundamental unit. We give a new interpretation to the problem and exploit the combinatorial method used by Pohst. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_01500 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A Refinement of Pohst's Inequality Raposo, Gabriel Number Theory Combinatorics 11Y40 (Primary), 11R27, 11R29 (Secondary) We generalize an inequality conjectured by Pohst in 1977 and recently proved by the author and independently by Battistoni and Molteni. This new inequality improves a bound for the regulator in terms of the discriminant for totally real number fields by taking into account the signs of conjugates of the fundamental unit. We give a new interpretation to the problem and exploit the combinatorial method used by Pohst. |
| title | A Refinement of Pohst's Inequality |
| topic | Number Theory Combinatorics 11Y40 (Primary), 11R27, 11R29 (Secondary) |
| url | https://arxiv.org/abs/2212.01500 |