| 孪生素数椭圆曲线E_的整数点 |
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| 引用本文： | 刘志伟,汤干文,古媛.孪生素数椭圆曲线E_的整数点[J].数学杂志,2010,30(6). |
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| 作者姓名： | 刘志伟 汤干文 古媛 |
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| 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).
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| 关 键 词： | 孪生素数椭圆曲线 非平凡整数点 Diophantine方程 |
THE INTEGRAL POINTS ON TWIN PRIMES ELLIPTIC CURVE E_ |
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| LIU Zhi-wei,TANG Gan-wen,GU Yuan.THE INTEGRAL POINTS ON TWIN PRIMES ELLIPTIC CURVE E_[J].Journal of Mathematics,2010,30(6). |
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| Authors: | LIU Zhi-wei TANG Gan-wen GU Yuan |
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| Abstract: | In this article,let p and q be twin primes,the non-trivial integral points on the elliptic curve E_:y2 = 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). |
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| Keywords: | twin primes elliptic curve non-trivial integral point diophantine equation |
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