| 一类同余方程解数的上界估计 |
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| 引用本文： | 冯上海.一类同余方程解数的上界估计[J].上海大学学报(自然科学版),2010,16(2):163-169. |
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| 作者姓名： | 冯上海 |
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| 作者单位： | 上海大学 理学院，上海 200444 |
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| 摘 要： | 主要研究同余方程∏ri=1(x+mi)≡∏2r i=r+1(x+mi)(mod pμ)有解时, 关于m=(m1,m2,…,m2r)解数的问题.通过引入p-adic指数赋值,并比较该同余方程关于未知元x各项系数的p-adic指数赋值方法,得到r=6时,该同余方程关于m解数的上界估计.
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| 关 键 词： | 同余方程 解数 p-adic指数赋值 特征和 |
| 收稿时间： | 2008-12-12 |
Estimation of Upper Bound for the Number of Solutions of a Kind of Congruence |
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| FENG Shang-hai.Estimation of Upper Bound for the Number of Solutions of a Kind of Congruence[J].Journal of Shanghai University(Natural Science),2010,16(2):163-169. |
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| Authors: | FENG Shang-hai |
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| Institution: | College of Sciences, Shanghai University, Shanghai 200444, China |
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| Abstract: | The problem of the solution number about m=(m_1,m_2,...,m~(2r)) was studied, when the congruence can be solved. By introducing the conception of the p-adic exponential evaluation and comparing the p-adic exponential evaluations of each coefficient of x in the congruence, we obtain the solution number of m in the congruence when r=6. |
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| Keywords: | congruence number of solutions p-adic exponential evaluation character sum |
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