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Squares in arithmetic progression over number fields
- Source :
-
Journal of Number Theory . Mar2012, Vol. 132 Issue 3, p379-389. 11p. - Publication Year :
- 2012
-
Abstract
- 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 k-powers for integers . [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 132
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 70407194
- Full Text :
- https://doi.org/10.1016/j.jnt.2011.07.010