连续正整数偶次幂之和同余方程的整数解  

The Integral Solutions of the Congruence Equation for the Sum of even Exponent of The Continuous Positive Integers

作　　者：邹兆南[1] 谭远顺[1] 

机构地区：[1]重庆交通大学理学院,重庆400074

出　　处：《河南师范大学学报（自然科学版）》2009年第6期28-30,共3页Journal of Henan Normal University(Natural Science Edition)

基　　金：重庆市教委科学技术研究项目(KJ080404);重庆市教育科学‘十一五’规划2006年度高校重点课题(2006-GJ-142);重庆交通大学教改课题

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.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.

关 键 词：连续正整数 素数模 同余方程 最小非负剩余 FERMAT定理 

分 类 号：O115[理学—数学]