Number Theory in OSCAR
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909165353435136 |
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| author | Fieker, Claus Hofmann, Tommy |
| author_facet | Fieker, Claus Hofmann, Tommy |
| contents | We give a brief introduction to computational algebraic number theory in OSCAR. Our main focus is on number fields, rings of integers and their invariants. After recalling some classical results and their constructive counterparts, we showcase the functionality in two examples related to the investigation of the Cohen-Lenstra heuristic for quadratic fields and the Galois module structure of rings of integers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06858 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Number Theory in OSCAR Fieker, Claus Hofmann, Tommy Number Theory 11Y40, 11-04, 11R29, 11R33, 11R37, 11N45 We give a brief introduction to computational algebraic number theory in OSCAR. Our main focus is on number fields, rings of integers and their invariants. After recalling some classical results and their constructive counterparts, we showcase the functionality in two examples related to the investigation of the Cohen-Lenstra heuristic for quadratic fields and the Galois module structure of rings of integers. |
| title | Number Theory in OSCAR |
| topic | Number Theory 11Y40, 11-04, 11R29, 11R33, 11R37, 11N45 |
| url | https://arxiv.org/abs/2404.06858 |