Enrique Gonzalez-Jimenez, Jorn Steuding
Published 2009-03-23Version 1
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}).
Journal: Publicationes Mathematicae Debrecen 77/ 1-2 (2010), 125-138
On the sum of two integral squares in quadratic fields $\Q(\sqrt{\pm p})
The distribution of $H_{8}$-extensions of quadratic fields
Representation of an integer as the sum of a prime in arithmetic progression and a squarefree integer with certain parity
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