| 刘华珂,王天芹.光滑Weyl和的分数幂均值的数值上界(II)[J].数学年刊A辑,2014,35(5):523~532 |
| 光滑Weyl和的分数幂均值的数值上界(II) |
| Numerical Bounds for the Mean Values of Smooth Weyl Sums of FractionalMoments (II) |
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| DOI： |
| 中文关键词: 允许指数, 光滑Weyl和, 均值, 数值上界 |
| 英文关键词:Permissible exponent, Smooth Weyl sum, Mean value, Numerical bound |
| 基金项目:国家自然科学基金(No.11071070), 河南省基础与前沿技术研究计划项目(No.122300410030)和河南省创新型科技人才队伍建设工程资助项目 |
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| 中文摘要: |
| 通过讨论光滑Weyl和的任意幂次均值的数值上界之间的关系, 给出了幂次为区间 $[6,7]$ 中的值时相应均值的数值上界的一些新结果. |
| 英文摘要: |
| The authors discuss some relationship of the
numerical bounds for the mean values of smooth Weyl sums of
fractional moments based on a creative work of Wooley. Some new
results on the numerical bounds of the mean values are given when
the moments are in the interval $[6, 7]$. |
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