| 应用Pell方程解一类高次不定方程的计算公式 |
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| 引用本文： | 王先荣,邱树华.应用Pell方程解一类高次不定方程的计算公式[J].湖北广播电视大学学报,2007,27(7):143-144. |
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| 作者姓名： | 王先荣 邱树华 |
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| 作者单位： | 老河口广播电视大学,湖北,老河口,441800 |
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| 摘 要： | 在数论中,借助于无限循环连分数,可得到Pell方程(二次不定方程)的求解公式。对于高次不定方程的求解公式,数论教材中并未论及。本文借助于某些Pell方程,证明一类高次不定方程是否有正整数解的计算公式。
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| 关 键 词： | 高次不定方程 正整数解 |
| 文章编号： | 1008-7427（2007）07-0143-02 |
| 修稿时间： | 2007-04-19 |
Solves a kind of higher mode indefinite equation using the Pell equation formula |
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| WANG Xian-rong,QIU Shu-hua.Solves a kind of higher mode indefinite equation using the Pell equation formula[J].Journal of Hubei Radio& Televisonuniversity,2007,27(7):143-144. |
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| Authors: | WANG Xian-rong QIU Shu-hua |
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| Abstract: | In the theory of numbers, with the aid of in the infinite loop continually score, may obtain the Pell equation (quadratic diophantine equation) the solution formula.Regarding the higher mode indefinite equation solution formula, in the theory of numbers teaching material concerns by no means.This article with the aid of in certain Pell equation, proved whether a kind of higher mode indefinite equation does have the positive integer solution formula. |
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| Keywords: | Higher mode indefinite equation Positive integer solution |
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