On the Diophantine equation x2+5m=yn

被引：0
作者：
Liqun Tao
机构：
[1] Nanjing University,Department of Mathematics
[2] University College Dublin,School of Mathematical Sciences
来源：
The Ramanujan Journal | 2009年 / 19卷
关键词：
Diophantine equation; Quadratic field; 11D61;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we consider the Diophantine equation x2+5m=yn, n>2, m>0. We prove that the equation has no positive integer solutions when 2∤m, nor when 2∣m under the additional condition (x,y)=1, with the help of Bilu, Hanrot, and Voutier’s deep result in (J. Reine Angew. Math. 539:75–122, 2001).
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页码：325 / 338
页数：13
相关论文
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