| 模2l缩系的若干注记 |
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| 引用本文： | 张晓磊.模2l缩系的若干注记[J].广州大学学报(自然科学版),2013(5):8-10. |
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| 作者姓名： | 张晓磊 |
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| 作者单位： | [1]广州大学数学与信息科学学院,广东广州510006 [2]广州大学数学与交叉科学广东普通高校重点实验室,广东广州510006 |
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| 基金项目： | 国家自然科学基金资助项目（11271003） |
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| 摘 要： | 在常见的数论文献中,模2l的缩系是用-1,5来生成的.文章推广了这一结果,给出了模2l最大阶元的刻画以及模2l缩系生成元组的刻画.特别地,证明了-1,3也可作为模2l的一个缩系生成元组.从数值上看,它们比常用的-1,5更简单.
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| 关 键 词： | 缩系 生成元 阶 |
Some notes on the reduced residue system modulo 2′ |
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| ZHANG Xiao-lei.Some notes on the reduced residue system modulo 2′[J].Journal og Guangzhou University:Natural Science Edition,2013(5):8-10. |
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| Authors: | ZHANG Xiao-lei |
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| Institution: | ZHANG Xiao-lei ( a. School of Mathematical and Information Sciences ; Guangdong Higher Education Institutes, b. Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangzhou University, Guangzhou 510006, China) |
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| Abstract: | In most references of number theory, - 1 and 5 are selected as the generators of the reduced residue system modulo 2l . In this paper, we generalize this result, describe the characteristics of maximal order elements and the generators of reduced residue system modulo 2′ . In particular, we prove that - 1 and 3 are generators of reduced residue system modulo 21 , which is more concise then the commonly used - 1, 5. |
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| Keywords: | reduced residue system generator order |
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