| 关于Diophantine方程x~3±1=3py~2 |
| |
| 引用本文： | 韩云娜.关于Diophantine方程x~3±1=3py~2[J].高师理科学刊,2010,30(3). |
| |
| 作者姓名： | 韩云娜 |
| |
| 作者单位： | 西北大学,数学系,陕西,西安,710127 |
| |
| 摘 要： | 利用初等数论的方法证明了:如果p是适合p≡3,7(mod8)的奇素数,则方程x3-1=3py2无正整数解;如果p是适合p≡7(mod8)的奇素数,则方程x3+1=3py2无正整数解.
|
| 关 键 词： | 丢番图方程 正整数解 同余 |
On the Diophantine equation x3±1=3py2 |
| |
| HAN Yun-na.On the Diophantine equation x3±1=3py2[J].Journal of Science of Teachers＇College and University,2010,30(3). |
| |
| Authors: | HAN Yun-na |
| |
| Institution: | HAN Yun-na(Department of Mathematics; Northwest University; Xi an 710127; China); |
| |
| Abstract: | It was proved that if p is an odd prime with p≡3,7(mod8),then the equation x3-1=3py2 has no positive integer solutions,and if p is an odd prime with p≡7(mod8),then the equation x3+1=3py2 has no positive integer solutions. |
| |
| Keywords: | Diophantine equation positive integer solution congruence |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
