| Mean Value on the Difference Between a Quadratic Residue and Its Inverse Modulo p |
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| 作者姓名： | Hua Ning LIU Wen Peng ZHANG |
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| 作者单位： | Department of Mathematics, Northwest University, Xi＇an 710069 P. R. China |
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| 基金项目： | This work is supported by the N.S.F. （10271093） and P.N.S.F. of P. R. China |
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| 摘 要： | The main purpose of this paper is to use the generalized Bernoulli numbers, Gauss sums and the mean value theorems of Dirichlet L-functions between a quadratic residue and its inverse modulo p value formula. to study the asymptotic property of the difference （a prime）, and to give an interesting hybrid mean
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| 关 键 词： | 二次剩余 模p逆 平均值 整数逆 残差 柏努利数 |
| 收稿时间： | 22 September 2004 |
| 修稿时间： | 2004-09-222004-11-11 |
Mean Value on the Difference Between a Quadratic Residue and Its Inverse Modulo <Emphasis Type="Italic">p</Emphasis> |
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| Hua Ning LIU Wen Peng ZHANG.Mean Value on the Difference Between a Quadratic Residue and Its Inverse Modulo p[J].Acta Mathematica Sinica,2007,23(5):915-924. |
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| Authors: | Hua Ning Liu Wen Peng Zhang |
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| Institution: | (1) 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 asymptotic property of the difference between a quadratic residue and its inverse modulo p (a prime), and to give an interesting hybrid mean value formula.
This work is supported by the N.S.F. (10271093) and P.N.S.F. of P. R. China |
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| Keywords: | An integer and its inverse Bernoulli numbers Cochrane sums |
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