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arXiv · 0909.1642

Squares in arithmetic progression over number fields

Xavier Xarles
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Abstract

We show that there exists an upper bound for the number of squares in arithmetic progression over a number field that depends only on the degree of the field. We show that this bound is 5 for quadratic fields, and also that the result generalizes to $k$-powers for $k>1$.

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Xavier Xarles. 2009-09-09. Squares in arithmetic progression over number fields. https://arxiv.org/abs/0909.1642

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