纺织高校基础科学学报2018，Vol.31Issue(1)：35-37,54,4.DOI:10.13338/j.issn.1006-8341.2018.01.007
关于四次Thue方程ax4-(2a+1)x2y2+ay4=-1
On the quartic Thue equation ax4-(2a+1)x2y2+ay4=-1
摘要
Abstract
Let a be a fixed positive integer.To disscuss the solution of a quartic Thue equation, using certain properties of quadratic and quartic Diophantine equations,it is proved that the e-quation ax4-(2a+1)x2y2+ay4=-1 has only the positive integer solution(x,y)=(1,1), this solved the related problem completely.关键词
四次Thue方程/Pell方程/四次Diophantine方程Key words
quartic T hue equation/Pell equation/quartic Diophantine equation分类
数理科学引用本文复制引用
呼家源,李小雪..关于四次Thue方程ax4-(2a+1)x2y2+ay4=-1[J].纺织高校基础科学学报,2018,31(1):35-37,54,4.基金项目
内蒙古自然科学基金(2017MS0114) （2017MS0114）
西安航空学院校级科研基金(2018KY0208) （2018KY0208）
