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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.14856 |
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| _version_ | 1866917215191695360 |
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| author | Autissier, Pascal |
| author_facet | Autissier, Pascal |
| contents | Let K be a finite Galois extension of Q. The normal basis theorem provides an element of K whose conjugates form a Q-basis of K. Here we obtain such an element with controlled size. This improves a recent result by Fukshansky and Jeong. By the way, we estimate Minkowski's minima of ideals of integers of number fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14856 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Effective normal basis theorem Autissier, Pascal Number Theory Let K be a finite Galois extension of Q. The normal basis theorem provides an element of K whose conjugates form a Q-basis of K. Here we obtain such an element with controlled size. This improves a recent result by Fukshansky and Jeong. By the way, we estimate Minkowski's minima of ideals of integers of number fields. |
| title | Effective normal basis theorem |
| topic | Number Theory |
| url | https://arxiv.org/abs/2601.14856 |