| 不定方程m~4x(x+1)(x+2)(x+3)=(m~4-1)y(y+1)(y+2)(y+3)的整数解 |
| |
| 引用本文： | 郑惠.不定方程m~4x(x+1)(x+2)(x+3)=(m~4-1)y(y+1)(y+2)(y+3)的整数解[J].四川理工学院学报(自然科学版),2012,25(2):95-96. |
| |
| 作者姓名： | 郑惠 |
| |
| 作者单位： | 阿坝师范高等专科学校数学系,四川汶川,623000 |
| |
| 基金项目： | 阿坝师专科研基金重点项目(ASA11-25);四川省教育厅自然科学基金项目(12ZB002) |
| |
| 摘 要： | 运用初等方法对不定方程ax(x+1)(x+2)(x+3)=by(y+1)(y+2)(y+3)的整数解进行了研究,得到了当a=m4,b=m4-1时方程的非负整数解仅有(x,y)=(0,0)。
|
| 关 键 词： | Diophantine方程 整数解 连续正整数 基本解 |
Solutions of Diophantine Equation m~4x(x+1)(x+2)(x+3)=(m~4-1)y(y+1)(y+2)(y+3) |
| |
| ZHENG Hui.Solutions of Diophantine Equation m~4x(x+1)(x+2)(x+3)=(m~4-1)y(y+1)(y+2)(y+3)[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2012,25(2):95-96. |
| |
| Authors: | ZHENG Hui |
| |
| Institution: | ZHENG Hui(Department of Mathematics,ABa Teachers College,Wenchuan 623000,China) |
| |
| Abstract: | The solution of Diophantine eqeation ax(x+1)(x+2)(x+3)=by(y+1)(y+2)(y+3) is discussed by using elementary methods.It is proved that the eqution has only non-negative integer solution(x,y)=(0,0) when a=m4,b=m4-1. |
| |
| Keywords: | Diophantine equation integer solution continued positive integers fundamental solution |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
