| 二次剩余定理的推广——二次剩余函数的值域 |
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| 引用本文： | 戎士奎,韦萍萍.二次剩余定理的推广——二次剩余函数的值域[J].贵州教育学院学报,2007,18(2):1-3. |
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| 作者姓名： | 戎士奎 韦萍萍 |
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| 作者单位： | 贵州教育学院数学系 贵州贵阳550003 |
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| 摘 要： | 任何奇素数p有(p-1)/2个二次剩余,此就是二次剩余定理。提出二次剩余函数的概念,证明了素数模p任一二次剩余函数的值域都有(p 1)/2个元素。二次剩余定理乃是它的一种特殊情形,从而推广了二次剩余定理。
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| 关 键 词： | 二次剩余数 奇素数 |
| 文章编号： | 1002-6983（2007）02-0001-03 |
| 收稿时间： | 2006-12-10 |
| 修稿时间： | 2006年12月10 |
The promotion of the quadratic residue theorem——The field of the quadratic residue function |
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| RONG Shi-kui,WEI Ping-ping.The promotion of the quadratic residue theorem——The field of the quadratic residue function[J].Journal of Guizhou Educational College(Social Science Edition),2007,18(2):1-3. |
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| Authors: | RONG Shi-kui WEI Ping-ping |
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| Institution: | Department of Mathematics, Guizhou Education Institute, Guiyang, Guizhou 550003, China |
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| Abstract: | Any odd prime number P has (p-1)/2 quadratic residue.This is the quadratic residue theorem.The article gives the concept of the quadratic residue function,and proves a theorem that the field of any quadratic residue function of prime modulus P has (p 1)/2 elements.The Quadratic Residue Theorem is a special kind of the theorem. |
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| Keywords: | quadratic residue odd prime number |
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