| 剩余类环Z_M与Z_M上的数论变换 |
| |
| 引用本文： | 张四保,李中恢.剩余类环Z_M与Z_M上的数论变换[J].湖北民族学院学报(哲学社会科学版),2009,27(2). |
| |
| 作者姓名： | 张四保 李中恢 |
| |
| 作者单位： | 张四保(喀什师范学院数学系,新疆喀什,844007);李中恢(宜春学院数学与计算机科学学院,江西宜春,336000)
|
| |
| 基金项目： | 江西省教育科学"十一五"2007年规划课题 |
| |
| 摘 要： | 剩余ZM类环是一类特殊的环.数论变换是以正整数M为模的正整数环(域)ZM上定义的线性正交变换.所用的计算方法是数论中的同余运算.介绍了剩余类环ZM上的几个方面的知识点,以及ZM上的数论变换的有关理论,及其数论变换应注意的几个问题.
|
| 关 键 词： | 剩余类环ZM 数论变换 本原单位根 |
The Remaining Class Ring and the Number Transform of Z_M |
| |
| ZHANG Si-bao,LI Zhong-Hui.The Remaining Class Ring and the Number Transform of Z_M[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2009,27(2). |
| |
| Authors: | ZHANG Si-bao LI Zhong-Hui |
| |
| Institution: | 1.Department of Mathematics;Kashgar Teachers College;Kashgar 844007;China;2.School of Mathematics and Computer Science;Yichun University;Yichun 336000;China |
| |
| Abstract: | The remaining class ring ZM is a special kind of ring.The number transformation is defined linear orthogonal transformation on the integral ring(domain) ZM,whose modulus is the integer number M,and its calculation theory is congruence of the number theory.In this paper,several aspects of the remaining class ring ZM,several theories about the number transform of ZM and some problems of the number theory transform are introduced. |
| |
| Keywords: | remaining class ring ZM number theory transformation primitive unit root |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
