| “对偶原理”在初等数论解题中的应用 |
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| 引用本文： | 余红宴.“对偶原理”在初等数论解题中的应用[J].湖北师范学院学报(自然科学版),2011,31(3):98-100. |
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| 作者姓名： | 余红宴 |
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| 作者单位： | 湖北师范学院数学与统计学院,湖北黄石,435002 |
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| 基金项目： | 湖北师范学院研究生科研启动基金项目资助(2008D35)、湖北师范学院教学研究项目(2009059) |
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| 摘 要： | 探讨初等数论解题和证明中的和对偶、积对偶和整体对偶等对偶原理的运用,得到一些结果,并举一些例子。
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| 关 键 词： | 和对偶 积对偶 整体对偶 欧拉函数 Wilson定理 |
Application of duality principle in solving problems in elementary number theory |
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| YU Hong-yan.Application of duality principle in solving problems in elementary number theory[J].Journal of Hubei Normal University(Natural Science),2011,31(3):98-100. |
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| Authors: | YU Hong-yan |
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| Institution: | YU Hong-yan(College of Mathematic and Statistic,Hubei Normal University,Huangshi 435002,China) |
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| Abstract: | In this paper,we discuss application of duality principle in problem solving and the proof in elementary number theory,such as sum duality,multiply duality and global duality.And obtain some results,citing some examples. |
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| Keywords: | sum duality multiply duality global duality Euler function Wilson theorem |
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