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On indefinite ternary quadratic forms
Published online by Cambridge University Press: 09 April 2009
Extract
In a paper [1] with the same title Barnes has shown that if Q(x, y, z) is an indefinite ternary quadratic form of determinant d ≠ 0 then there exist integers x1, y1, z1, x2,···z3 satisfying for which Furthermore, unless Q is equivalent to a multiple of or two other forms Q2, Q3 then the constant ⅔ in (1.2) can be replaced by 1/2.2. For Q1 equality is needed on at least one side of (1.2) while for Q2, Q3 the constant ⅔ can be reduced to 12/25 but no further.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 18 , Issue 4 , December 1974 , pp. 388 - 401
- Copyright
- Copyright © Australian Mathematical Society 1974
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