2 papers
math.NT2026
Squares in arithmetic progression over quadratic extensions of number fields
Enrique González-Jiménez
We study arithmetic progressions of squares over quadratic extensions of number fields. Using a method inspired by an approach of Mordell, we characterize such progressions as quad…
math.NT2026
Squares in arithmetic progression over certain non-primitive quartic number fields
Enrique González-Jiménez, Nguyen Xuan Tho
Let be a square-free integer. Under certain conditions on , we characterize non-constant arithmetic progressions of squares over quadratic extensions of $\mathbb{Q}(\sqrt{D}…