On Indefinite Quadratic Forms in Five Variables
On Indefinite Quadratic Forms in Five Variables
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DOI：
10.1112/jlms/s1-21.3.185
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发表时间：
1946-07
影响因子：
1.2
通讯作者：
H. Davenport;H. Heilbronn
中科院分区：
文献类型：
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作者：
H. Davenport;H. Heilbronn
1.一个著名的定理，由于迈耶夫，告诉我们，任何不确定的二次型在五个变量，与合理的系数和非零行列式，代表零非平凡。已经证明，这样一个具有真实的系数的形式必然假定数值上任意小的值。我们将证明，当二次型的类型为
1. A well-known theorem, due to Meyerf, tells us that any indefinite quadratic form in five variables, with rational coefficients and non-zero determinant, represents zero non-trivially. It has been conjectured J that such a form with real coefficients necessarily assumes values that are arbitrarily small numerically. We shall prove that this is the case when the quadratic form is of the type