雁北师范学院学报2011,Vol.27Issue(3) :6-7,10.

不定方程x^2+y^2+z^2=2(xy+yz+xz)的解及其性质

Solution to Indefinite Equation x^2+y^2+z^2=2(xy+yz+xz) and its Properties

雁北师范学院学报2011,Vol.27Issue(3) :6-7,10.

不定方程x^2+y^2+z^2=2(xy+yz+xz)的解及其性质

Solution to Indefinite Equation x^2+y^2+z^2=2(xy+yz+xz) and its Properties

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摘要

从方程自身的特征出发,研究解的特性,引入方程的同组解、邻解、奇解与非奇解、互质解的概念,得出方程最简单的解和互质解谱树图,导出一系列解的性质的结论,且可由方程的最简单的解和互质解谱树图求出方程全部解的结果。

Abstract

By surveying the properties of the equation,the author studies the characteristics of the solution,and introduces the concepts of adjacent solution,singular solution,non-singular solution,coprime solution etc,and has obtained the simplest solution and fam

关键词

邻解/奇解/互质解/解谱树图

Key words

adjacent solution/singular solution/coprime solution/family tree

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出版年

2011
雁北师范学院学报
雁北师范学院

雁北师范学院学报

ISSN:1009-1939
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