摘要
设p和q是孪生素数. 本文讨论了椭圆曲线E?上的非平凡整数点. 运用初等数论方法证明了该椭圆曲线至多有1组非平凡整数点(x,±y).
In this article, let p and q be twin primes, the non-trivial integral points on the elliptic curve E_ ： y^2 = x（x - p）（x - q） are discussed. Using elementary number theory methods, we prove that this elliptic curve has at most one pair of non-trivial integral points （x,±y）.
出处
《数学杂志》
CSCD
北大核心
2010年第6期991-1000,共10页
Journal of Mathematics
基金
Supported by the National Natural Science Foundation of China (10971184)
Natural Science Fund of GuangXi Education Department
