含四个参数的四次Thue方程（英文）  

A NOTE ON FOUR-PARAMETRIZED QUARTIC 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》2015年第3期593-600,共8页Journal of Mathematics

基　　金：Supported by doctoral fund of Huazhong Agricultural University(2662015BQ028);the Fundamental Research Funds for the Central Universities(2662014QC010)

摘　　要：本文研究了含四个参数的四次Thue方程.利用简单的代数数有理逼近方法给出了该方程解的有效上界,从而将参数个数由两个推广到四个.upper bound of by using simpler parameters from In this paper, we study four-parametric quartic Thue equations. An effective the solutions （x, y） is obtained for the four-parametric quartic Thue equations method to approximate certain algebraic numbers, which extends the number of 2to4.

关 键 词：Thue方程 含参丢番图方程 有理逼近 

分 类 号：O156.7[理学—数学]