Davenport方法与极小例外集：Waring问题的渐近公式
Davenport's method and slim exceptional sets: the asymptotic formulae in Waring's problem
摘要：
本文应用Davenport的方法改进了与Waring问题中的渐近公式相关的几个极小例外集的估计。特别是，我们表明，预期的渐近公式在华林问题的总和7立方持有的所有，但$O(N^{1/3+ε})$的自然数不超过$N$。
英文摘要：
We apply a method of Davenport to improve several estimates for slim exceptional sets associated with the asymptotic formula in Waring's problem. In particular, we show that the anticipated asymptotic formula in Waring's problem for sums of seven cubes holds for all but $O(N^{1/3+ε})$ of the natural numbers not exceeding $N$.
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