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.
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页码：2143 / 2158
页数：15
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