On Indefinite Quadratic Forms in Five Variables
On Indefinite Quadratic Forms in Five Variables
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DOI：
10.1112/plms/s3-3.1.170
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发表时间：
1953
影响因子：
1.8
通讯作者：
G. Watson
中科院分区：
文献类型：
--
作者：
G. Watson
1. Davenport和Heilbronnf在1946年证明了任何xx+型的不定二次型具有比率不全是有理数的真实的系数的x1，对于整数xv..取任意小的值，x6不全是零在本文中，我证明了这个结果对Q（xly...，xs）= Aiai+.+ A，*}+ A，* 4>> 8。
1. IT was proved in 1946 by Davenport and Heilbronnf that any indefinite quadratic form of the type\xx\+...+\x\, with real coefficients whose ratios are not all rational, takes arbitrarily small values for integers xv..., x6 not all zero. In this paper I show that this result holds good for a form of the type Q (xly..., xs)= Aiai+...+ A,*}+ A,* 4» 8.