On some topics connected with Waring's problem.

On some topics connected with Waring's problem.
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关于与韦林问题相关的一些主题。

DOI:
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发表时间:
1986
期刊:
影响因子:
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通讯作者:
C. Hooley
C. Hooley
中科院分区:
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文献类型:
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作者:
C. Hooley

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这实际上是哈代和利特尔伍德应用他们的假设的工具。到目前为止,对于f的小值,在(2)的方向上无条件地实现的最好的是从华不等式导出的界限,其结果在文献中有很好的记载。然而,最近,通过对三次三重上某些Hasse-Weil整体L-函数的Riemann假设的真实性的假设,作者表明,
which was in fact the vehicle through which Hardy and Littlewood applied their hypothesis. So far, the best that has been achieved unconditionally in the direction »of (2) for small values of / are the bounds derived from Hua's inequality,) the consequences of which have been well documented in the literature. Yet recently, by assuming the truth of the Riemann hypothesis for certain Hasse-Weil global L-functions over cubic threefolds, the author shewed that