Squares in arithmetic progression over certain non-primitive quartic number fields
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917239733616640 |
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| author | González-Jiménez, Enrique Tho, Nguyen Xuan |
| author_facet | González-Jiménez, Enrique Tho, Nguyen Xuan |
| contents | Let $D$ be a square-free integer. Under certain conditions on $D$, we characterize non-constant arithmetic progressions of squares over quadratic extensions of $\mathbb{Q}(\sqrt{D})$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_01380 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Squares in arithmetic progression over certain non-primitive quartic number fields González-Jiménez, Enrique Tho, Nguyen Xuan Number Theory Algebraic Geometry Primary: 11B25, 11G05, Secondary: 14G05 Let $D$ be a square-free integer. Under certain conditions on $D$, we characterize non-constant arithmetic progressions of squares over quadratic extensions of $\mathbb{Q}(\sqrt{D})$. |
| title | Squares in arithmetic progression over certain non-primitive quartic number fields |
| topic | Number Theory Algebraic Geometry Primary: 11B25, 11G05, Secondary: 14G05 |
| url | https://arxiv.org/abs/2602.01380 |