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两类奇完全数的Euler因子及其指数
引用本文:张四保.两类奇完全数的Euler因子及其指数[J].首都师范大学学报(自然科学版),2012,33(3):1-3.
作者姓名:张四保
作者单位:喀什师范学院数学系,新疆喀什,844008
摘    要:关于奇完全数的存在性问题是一个著名的数论难题,迄今远未解决.研究了两类奇完全数的Euler因子以及某些素因子的指数,通过利用中国剩余定理给出了它们的一些结论.

关 键 词:奇完全数  中国剩余定理  Euler因子  指数

The Euler's Factors and Exponents on Two Classes of Odd Perfect Numbers
Zhang Sibao.The Euler's Factors and Exponents on Two Classes of Odd Perfect Numbers[J].Journal of Capital Normal University(Natural Science Edition),2012,33(3):1-3.
Authors:Zhang Sibao
Institution:Zhang Sibao (Department of Mathematics,Kashgar Teachers College,Kashgar 844008,China)
Abstract:The problem of the existence of odd perfect numbers is a well-known and difficult problem.The Euler’s factors and exponents on two classes of odd perfect numbers are studied,and some properties of theirs are presented by using Chinese remainder theorem.
Keywords:odd perfect Number  Chinese remainder theorem  Euler’s factor  exponent
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