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arXiv · 0903.3856

Arithmetic progressions of four squares over quadratic fields

Enrique Gonzalez-Jimenez·Jorn Steuding
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Abstract

Let d be a squarefree integer. Does there exist four squares in arithmetic progression over Q(sqrt{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(sqrt{d}).

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Enrique Gonzalez-Jimenez, Jorn Steuding. 2009-03-23. Arithmetic progressions of four squares over quadratic fields. https://arxiv.org/abs/0903.3856

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