Arithmetic progressions of four squares over quadratic fields
Let d be a squarefree integer. Does there exist four squares in arithmeti progression over Q( √ d)? We shall give a partial answer to this question, depending on the value of d. In the a rmative ase, we onstru t expli it arithmeti progressions onsisting of four squares over Q( √ d)
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universidad Autónoma de Madrid |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uam.es:10486/711214 |
| Acceso en línea: | http://hdl.handle.net/10486/711214 https://dx.doi.org/10.48550/arXiv.0903.3856 |
| Access Level: | acceso abierto |
| Palabra clave: | Rank of Data Congruent Numbers Selmer Group Matemáticas |
| Sumario: | Let d be a squarefree integer. Does there exist four squares in arithmeti progression over Q( √ d)? We shall give a partial answer to this question, depending on the value of d. In the a rmative ase, we onstru t expli it arithmeti progressions onsisting of four squares over Q( √ d) |
|---|