Distinguished defining polynomials for extensions of p-adic fields
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866916072082374656 |
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| author | Rúbies, Jordi Guàrdia i Jones, John W. Keating, Kevin Pauli, Sebastian Roberts, David P. Roe, David |
| author_facet | Rúbies, Jordi Guàrdia i Jones, John W. Keating, Kevin Pauli, Sebastian Roberts, David P. Roe, David |
| contents | We give an algorithm for choosing a distinguished defining polynomial for a p-adic field extension. This algorithm formed an important ingredient in the recent expansion of the database of p-adic fields within the L-functions and modular forms database. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_01453 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Distinguished defining polynomials for extensions of p-adic fields Rúbies, Jordi Guàrdia i Jones, John W. Keating, Kevin Pauli, Sebastian Roberts, David P. Roe, David Number Theory 11Y40 We give an algorithm for choosing a distinguished defining polynomial for a p-adic field extension. This algorithm formed an important ingredient in the recent expansion of the database of p-adic fields within the L-functions and modular forms database. |
| title | Distinguished defining polynomials for extensions of p-adic fields |
| topic | Number Theory 11Y40 |
| url | https://arxiv.org/abs/2606.01453 |