On the unit equation $\varepsilon+δ=n$ in cubic fields
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866916074728980480 |
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| author | Khawaja, Maleeha Siksek, Samir |
| author_facet | Khawaja, Maleeha Siksek, Samir |
| contents | Let n be a non-zero integer not equal to 2. We consider the unit equation $\varepsilon + δ= n$ in units $\varepsilon, δ$ of cubic fields. We show that this equation has no solutions for 100% of cubic fields, when ordered by discriminant. This is consistent with a recent conjecture of the authors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_02244 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the unit equation $\varepsilon+δ=n$ in cubic fields Khawaja, Maleeha Siksek, Samir Number Theory Let n be a non-zero integer not equal to 2. We consider the unit equation $\varepsilon + δ= n$ in units $\varepsilon, δ$ of cubic fields. We show that this equation has no solutions for 100% of cubic fields, when ordered by discriminant. This is consistent with a recent conjecture of the authors. |
| title | On the unit equation $\varepsilon+δ=n$ in cubic fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2606.02244 |