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 integers k> 1. © 2011 Elsevier Inc.
|Journal||Journal of Number Theory|
|Publication status||Published - 1 Mar 2012|
- Arithmetic progression
- Uniform bounds