| 连续正整数偶次幂之和同余方程的整数解 |
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| 引用本文： | 邹兆南,谭远顺.连续正整数偶次幂之和同余方程的整数解[J].河南师范大学学报(自然科学版),2009,37(6). |
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| 作者姓名： | 邹兆南 谭远顺 |
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| 作者单位： | 重庆交通大学,理学院,重庆,400074 |
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| 基金项目： | 重庆市教委科学技术研究项目，重庆市教育科学‘十一五'规划2006年度高校重点课题，重庆交通大学教改课题 |
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| 摘 要： | 利用连续正整数偶次幂之和关于素数模同余式的降幂性、对称性、归零性和缩减性,分别就与两种情形的若干特殊同余方程,给出了方程的全部整数解.
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| 关 键 词： | 连续正整数 素数模 同余方程 最小非负剩余 Fermat定理 |
The Integral Solutions of the Congruence Equation for the Sum of even Exponent of The Continuous Positive Integers |
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| ZOU Zhao-nan,TAN Yuan-shun.The Integral Solutions of the Congruence Equation for the Sum of even Exponent of The Continuous Positive Integers[J].Journal of Henan Normal University(Natural Science),2009,37(6). |
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| Authors: | ZOU Zhao-nan TAN Yuan-shun |
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| Abstract: | It is a difficult number theory problem about the congruence expression for the sum of even exponent of the continuous positive integers.In this article some properties of the congruence equation are proved and a lot of integral solutions of the peculiar congruence equation are also obtained using the properties of degression about the exponent,reducibility about the number,symmetry and submit to zero about the form. |
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| Keywords: | continuous positive integers prime module congruence equation least non-negative residue Fermat's theo-tem |
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