湖北民族学院学报(自然科学版)2016,Vol.34Issue(1):40-41,59,3.DOI:10.13501/j.cnki.42-1569/n.2016.03.010
椭圆曲线 y2= px(x2-2)的整数点
The Integral Points on the Elliptic Curve y2 =px(x2-2)
赵晶晶1
作者信息
- 1. 滇西科技师范学院 后勤管理处,云南 临沧 677000
- 折叠
摘要
Abstract
Let p be a positive prime such that p is square free.We proved that if every prime divisor q of p satis fies q≡3(mod8),then the elliptic curve in title has no positive integer points;if every prime divi-sor q of p satisfies q≡5(mod 8),then the elliptic curve in title has at most two positive integer points.关键词
椭圆曲线/正整数点/奇素数Key words
elliptic curve/integer point/odd prime分类
数理科学引用本文复制引用
赵晶晶..椭圆曲线 y2= px(x2-2)的整数点[J].湖北民族学院学报(自然科学版),2016,34(1):40-41,59,3.