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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2019
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1907.01116 |
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| _version_ | 1866917837844512768 |
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| author | Frączyk, Mikołaj Harcos, Gergely Maga, Péter |
| author_facet | Frączyk, Mikołaj Harcos, Gergely Maga, Péter |
| contents | We estimate, in a number field, the number of elements and the maximal number of linearly independent elements, with prescribed bounds on their valuations. As a by-product, we obtain new bounds for the successive minima of ideal lattices. Our arguments combine group theory, ramification theory, and the geometry of numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1907_01116 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Counting bounded elements of a number field Frączyk, Mikołaj Harcos, Gergely Maga, Péter Number Theory We estimate, in a number field, the number of elements and the maximal number of linearly independent elements, with prescribed bounds on their valuations. As a by-product, we obtain new bounds for the successive minima of ideal lattices. Our arguments combine group theory, ramification theory, and the geometry of numbers. |
| title | Counting bounded elements of a number field |
| topic | Number Theory |
| url | https://arxiv.org/abs/1907.01116 |