Arithmetic progressions of four squares over quadratic fields

• Autores: Enrique González Jiménez, Jörn Steuding
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 77, Fasc. 1-2, 2010, págs. 125-138
• Idioma: inglés
• DOI: 10.5486/pmd.2010.4619
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• Resumen

  • Let d be a squarefree integer. Does there exist four squares in arithmetic pro- gression over Q( p d )? We shall give a partial answer to this question, depending on the value of d. In the a±rmative case, we construct explicit arithmetic progressions consisting of four squares over Q( p d ).