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-  2015 

含四个参数的四次Thue方程
A NOTE ON FOUR-PARAMETRIZED QUARTIC THUEEQUATIONS

Keywords: Thue方程 含参丢番图方程 有理逼近
Thue equation parametric Diophantine equation rational approximation

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Abstract:

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.
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

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