%0 Journal Article %T 含四个参数的四次Thue方程<br>A NOTE ON FOUR-PARAMETRIZED QUARTIC THUEEQUATIONS %A 作者 %A 张四兰 %A 夏静波 %A 陈建华 %A 艾小川 %J 数学杂志 %D 2015 %X 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.<br>In this paper, we study four-parametric quartic Thue equations. An efiective upper bound of the solutions (x,y) is obtained for the four-parametric quartic Thue equations by using simpler method to approximate certain algebraic numbers, which extends the number of parameters from 2 to 4 %K Thue方程 含参丢番图方程 有理逼近< %K br> %K Thue equation parametric Diophantine equation rational approximation %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20150313&flag=1