| 四数平方和定理的若干注记 |
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| 引用本文： | 周玉兴,韦儒和,黄敬频. 四数平方和定理的若干注记[J]. 广西师范学院学报（自然科学版）, 2013, 0(3): 28-30 |
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| 作者姓名： | 周玉兴 韦儒和 黄敬频 |
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| 作者单位： | [1]广西师范学院师园学院,广西南宁530226 [2]广西师范学院数学科学学院,广西南宁530023 [3]广西民族大学数学与计算机科学学院,广西南宁530006 |
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| 基金项目： | 广西自然科学基金项目（2011GXNSFA018139）： |
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| 摘 要： | 摘要：运用初等变换方法和四元数范数性质，得到一个正整数可写成四个正整数的平方和的几个判别条件；还证明了若两个整数可写成四个正整数的平方和，则它们的乘积也可写成另外四个正整数的平方和，并给出相应的算法．
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| 关 键 词： | 四元数 四数平方和定理 算法 |
Some Notes on Four Square Theorem |
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| ZHOU Yu-xing,WEI Ru-he,HUANG Jing-pin. Some Notes on Four Square Theorem[J]. Journal of Guangxi Teachers College(Natural Science Edition), 2013, 0(3): 28-30 |
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| Authors: | ZHOU Yu-xing WEI Ru-he HUANG Jing-pin |
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| Affiliation: | (a. Shiyuan College, Nanning 530226, China; b.School of Mathematical Sciences, 1. Guangxi Teachers Education University, Nanning 530023, China 2. Department of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, China) |
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| Abstract: | In this norm, we got a few square. Finite positive can be written as sum paper, using elementary transformation method and properties of quaternion diseriminant conditions of a positive integer written as four positive integer integer can be expressed as sum of four positive integer square, and its product of four positive integer square. |
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| Keywords: | quaternion four square theorem algorithm |
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