| M(o)bius函数与多项式相位的强渐近正交性 |
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| 引用本文： | 刘文新.M(o)bius函数与多项式相位的强渐近正交性[J].北京师范大学学报(自然科学版),2009,45(4):340-343. |
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| 作者姓名： | 刘文新 |
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| 作者单位： | 北京师范大学数学科学学院,100875,北京 |
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| 基金项目： | 国家自然科学基金资助项目(10671015) |
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| 摘 要： | 证明了Mbius函数与任意多项式相位的强渐近正交性,推广了Green和Tao的相应结果.
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| 关 键 词： | M(o)bius函数 强渐近正交性 圆周范数 |
THE STRONG ASYMPTOTIC ORTHOGONALITY OF THE M(o)BIUS FUNCTION AND THE POLYNOMIAL PHASES |
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| LIU Wenxin.THE STRONG ASYMPTOTIC ORTHOGONALITY OF THE M(o)BIUS FUNCTION AND THE POLYNOMIAL PHASES[J].Journal of Beijing Normal University(Natural Science),2009,45(4):340-343. |
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| Authors: | LIU Wenxin |
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| Institution: | School of Mathematical Sciences;Beijing Normal University;100875;Beijing;China |
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| Abstract: | Strong asymptotic orthogonality of Mobius function μ and an arbitrary polynomial phase is proved, which is a generalization of corresponding result of B. Green and T. Tao. |
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| Keywords: | Mobius function strong asymptotic orthogonality circle norm |
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