摘要
利用同余、奇偶分析、二次同余式及二元二次方程解的结构及解序列的递归性质等初等方法,研究了椭圆曲线y^(2)=x^(3)-x±6的整点问题,得到了椭圆曲线y^(2)=x^(3)-x±6没有正整数点的结论.
By using congruence,parity analysis,quadratic congruence,the structure of solutions of quadratic equations with two variables and the recursive properties of solution sequence,the integral point problem of elliptic curve y^(2)=x^(3)-x±6 is studied,and the conclusion is obtained that elliptic curve has no positive integer points.
作者
冉银霞
RAN Yinxia(School of Mathematics and Information Science,Longnan Teachers College,Longnan 742500,China)
出处
《高师理科学刊》
2020年第12期1-4,共4页
Journal of Science of Teachers'College and University
基金
甘肃省高等学校创新基金项目(2020-B367)。
关键词
椭圆曲线
整数点
二元二次方程
同余
elliptic curve
integral point
binary quadric equation
congruence