RATIONAL POINTS ON LINEAR SLICES OF DIAGONAL HYPERSURFACES
RATIONAL POINTS ON LINEAR SLICES OF DIAGONAL HYPERSURFACES
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DOI：
10.1215/00277630-2891245
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发表时间：
2015-06-01
影响因子：
0.8
通讯作者：
Robert, Olivier
中科院分区：
文献类型：
--
作者：
Bruedern, Joerg;Robert, Olivier
给出了标题行中所描述的一类变种上有界高度有理点个数的一个渐近公式。通过Hardy-Littlewood方法证明了该公式，并在此过程中建立了关于Weyl和的两个新结果，它们具有一定的独立意义。
An asymptotic formula is obtained for the number of rational points of bounded height on the class of varieties described in the title line. The formula is proved via the Hardy-Littlewood method, and along the way we establish two new results on Weyl sums that are of some independent interest.