Squares in arithmetic progression over certain non-primitive quartic number fields
Number Theory
2026-02-03 v1 Algebraic Geometry
Abstract
Let be a square-free integer. Under certain conditions on , we characterize non-constant arithmetic progressions of squares over quadratic extensions of .
Cite
@article{arxiv.2602.01380,
title = {Squares in arithmetic progression over certain non-primitive quartic number fields},
author = {Enrique González-Jiménez and Nguyen Xuan Tho},
journal= {arXiv preprint arXiv:2602.01380},
year = {2026}
}