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arXiv · 2602.01380

Squares in arithmetic progression over certain non-primitive quartic number fields

Enrique González-Jiménez·Nguyen Xuan Tho
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Abstract

Let $D$ be a square-free integer. Under certain conditions on $D$, we characterize non-constant arithmetic progressions of squares over quadratic extensions of $\mathbb{Q}(\sqrt{D})$.

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Enrique González-Jiménez, Nguyen Xuan Tho. 2026-02-01. Squares in arithmetic progression over certain non-primitive quartic number fields. https://doi.org/10.1016/j.jnt.2025.11.005

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