Squares in arithmetic progression over number fields
Algebraic Geometry
2009-09-10 v1 Number Theory
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 -powers for .
Cite
@article{arxiv.0909.1642,
title = {Squares in arithmetic progression over number fields},
author = {Xavier Xarles},
journal= {arXiv preprint arXiv:0909.1642},
year = {2009}
}
Comments
17 pages