Arithmetic progressions of four squares over quadratic fields
Number Theory
2014-11-14 v1
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}).
Keywords
Cite
@article{arxiv.0903.3856,
title = {Arithmetic progressions of four squares over quadratic fields},
author = {Enrique Gonzalez-Jimenez and Jorn Steuding},
journal= {arXiv preprint arXiv:0903.3856},
year = {2014}
}