Article contents
Sums of squares of integral linear forms
Published online by Cambridge University Press: 09 April 2009
Abstract
In this paper we prove that every positive definite n-ary integral quadratic form with 12 < n < 13 (respectively 14 ≦ n ≤ 20) that can be represented by a sum of squares of integral linear forms is represented by a sum of 2 · 3n + n + 6 (respectively 3 · 4n + n + 3) squares. We also prove that every positive definite 7-ary integral quadratic form that can be represented by a sum of squares is represented by a sum of 25 squares.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 69 , Issue 3 , December 2000 , pp. 298 - 302
- Copyright
- Copyright © Australian Mathematical Society 2000
References
- 3
- Cited by