On the diophantine equation X2 − (1 + a2)Y4 = −2a

被引：0

作者：

PingZhi Yuan

ZhongFeng Zhang

机构：

[1] South China Normal University,School of Mathematics

[2] Sun Yat-Sen University,School of Mathematics & Computational Science

来源：

Science China Mathematics | 2010年 / 53卷

关键词：

algebraic approximations; continued fractions; elliptic curves; quartic equations; 11B39; 11D41;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let a ⩾ 1 be an integer. In this paper, we will prove the equation in the title has at most three positive integer solutions.

引用

页码：2143 / 2158

页数：15

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