| r次剩余及其关于模p的逆之差的混合均值 |
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| 引用本文： | 薛西锋.r次剩余及其关于模p的逆之差的混合均值[J].数学学报,2007,50(6):1411-141. |
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| 作者姓名： | 薛西锋 |
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| 作者单位： | 西北大学数学系 西安 |
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| 基金项目： | 国家自然科学基金(60472068，10671155) |
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| 摘 要： | 利用广义Bernoulli数,Gauss和与Dirichlet L-函数的均值来研究r次剩余及其关于模p的逆之差,并给出与广义Kloosterman和相关的一些混合均值公式.
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| 关 键 词： | 整数及其逆 Kloosterman和 混合均值 |
| 文章编号： | 0583-1431（2007）06-1411-08 |
| 收稿时间： | 2006-9-26 |
| 修稿时间： | 2006-09-26 |
Hybrid Mean Value on the Difference Between an r-th Residue and Its Inverse Modulo p |
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| Xi Feng XUE.Hybrid Mean Value on the Difference Between an r-th Residue and Its Inverse Modulo p[J].Acta Mathematica Sinica,2007,50(6):1411-141. |
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| Authors: | Xi Feng XUE |
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| Institution: | Xi Feng XUE Department of Mathematics,Northwest University,Xi'an 710069,P.R.China |
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| Abstract: | The main purpose of this paper is to use the generalized Bernoulli numbers, Gauss sums and the mean value theorems of Dirichlet L-functions to study the asymp- totic property of the difference between an r-th residue and its inverse modulo p(a prime),and give some interesting hybrid mean value formulae involving the general Kloosterman sums. |
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| Keywords: | an integer and its inverse Kloosterman sums hybrid mean value |
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