Arithmetic progressions of four squares over quadratic fields

作者：Gonzalez Jimenez Enrique^*; Steuding Joern

来源：Publicationes Mathematicae-Debrecen, 2010, 77(1-2): 125-138.

DOI：10.5486/pmd.2010.4619

• arithmetic progressions of four squares
• theta-congruent numbers
• Euler's concordant forms
• quadratic fields

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

• 出版日期2010-6