| 关于二次剩余与原根的关系 |
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| 引用本文： | 付巧峰. 关于二次剩余与原根的关系[J]. 西安科技大学学报, 2000, 20(2): 176-177 |
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| 作者姓名： | 付巧峰 |
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| 作者单位： | 西安科技学院,基础课部,陕西,西安,710054 |
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| 摘 要： | 设P为奇素数 ,主要研究了模P的任一二次剩余和二次非剩余与模P原根之间的相互关系 ,得出了一个非常有趣的结论 :即模P的任何一个二次剩余都可以表示成模P的两个原根之积 ;任何一个二次非剩余都可以表示成模P的三个原根之积
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| 关 键 词： | 原根 二次乘除 二次非剩余 |
| 修稿时间： | 1999-09-08 |
ON THE RELATIONSHIP BETWEEN QUADRATIC REMAINDER AND PRIME ROOT |
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| FU Qiao-feng. ON THE RELATIONSHIP BETWEEN QUADRATIC REMAINDER AND PRIME ROOT[J]. JOurnal of XI’an University of Science and Technology, 2000, 20(2): 176-177 |
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| Authors: | FU Qiao-feng |
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| Abstract: | Taking p as an odd prime number, this article conducts a research primarily on the relationship between any of the quadratic remainder, quadratic unremainder of mode p and the prime root of mode p, and it reaches an extremely interesting conclusion, that is, any of the quadratic remainder of mode p can be shown as the product of two prime roots of mode p, any of the quadratic unremainder can be shown as the product of three prime roots of mode p. |
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| Keywords: | prime root quadratic remainder quadratic unremainder |
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