| 关于不定方程x3-1=19y2 |
| |
| 引用本文： | 段辉明.关于不定方程x3-1=19y2[J].重庆工商大学学报(自然科学版),2005,22(2):191-193. |
| |
| 作者姓名： | 段辉明 |
| |
| 作者单位： | 重庆师范大学,数计学院,重庆,400047 |
| |
| 基金项目： | 重庆教委科研基金项目(010204). |
| |
| 摘 要： | 利用两种初等的方法,即对方程取某个正整数M>1为模来制造矛盾的同余法和递归序列法,证明了不定方程x3 -1=19y2 仅有整数解(x,y)=(1,0),从而进一步的证明了方程x2 -19y2 =-13无整数解;方程x2 -3r2 =-3仅有整数解(1.0).
|
| 关 键 词： | 不定方程 整数解 递归序列 |
| 文章编号： | 1672-058X(2005)02-0191-03 |
On the Diophantine Equation x3+1= 19y2 |
| |
| DUAN Hui-ming.On the Diophantine Equation x3+1= 19y2[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2005,22(2):191-193. |
| |
| Authors: | DUAN Hui-ming |
| |
| Abstract: | In this paper,the author has proved, with two method of contradictor recurrent sequences and congruence when modules of some positive integer M>1, that the Diophantine equation x~3 1=19y~2 has only integer solution(x,y)=(1,0).In fact,we have obtained a more general result that the only intager solution of the diophantine equation x~2-3y~2=-3 is(-1,0),and the diophantine equntion x~2-19y~2=-3,isn't interger solution. |
| |
| Keywords: | Diophantine equation integer solution recurrent sequence |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《重庆工商大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《重庆工商大学学报(自然科学版)》下载免费的PDF全文 |
|
