六次含参Thue方程的解(英文)  

SOLUTIONS OF PARAMETRIZED SEXTIC THUE EQUATIONS

作　　者：张四兰[1,2] 夏静波[1] 陈建华[2] 艾小川[2] 

机构地区：[1]华中农业大学理学院,湖北武汉430070 [2]武汉大学数学与统计学院,湖北武汉430072

出　　处：《数学杂志》2014年第3期478-486,共9页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(61202305);Fundamental Research funds for the Central Universities(2013PY120)

摘　　要：本文研究了含参的六次Thue方程.利用初等方法和简单的代数数有理逼近方法彻底求解了该方程,从而推广了Alan Togb′e的结果.In this paper, we study parametric family of sextic Thue equation. By using elementary method and simpler method of approximating certain algebraic numbers, we completely solve the parametric family of sextic Thue equation, which extend the results of Alan Togbe.

关 键 词：六次Thue方程 PADE逼近 连分数 

分 类 号：O156.7[理学—数学]