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一类三参数四次Thue方程的一个注记

A Note on a Family of Quartic Thue Equations with Three Parameters
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摘要 给出一类三参数的四次Thue方程x^4-4sx^3y-(2ab+4(a+b)s)x^2y^2-4absxy^3+a^2b^2y^4=1,s≥1,当a=2,b=1时的所有整数解(x,y). In this paper, we give all integal solutions of a family of quartic Thue equations with three parameters x^4-4 sx^3 y-(2 ab+4(a+b)s)x^2 y^2-4 absxy^3+a^2 b^2 y^4=1, s≥1,when a=2, b=1.
作者 李志刚 陈佘喜 LI Zhigang;CHEN Shexi(School of Computer Science and Engineering, Hunan University of Science and Technology, Xiangtan 411201;School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan 411201)
出处 《系统科学与数学》 CSCD 北大核心 2017年第10期2138-2145,共8页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金(11571101) 湖南省自然科学基金(2016JJ2051)资助课题
关键词 Thue方程 Tzanakis方法 Baker-Davenport方法 Thue equation, Tzanakis method, Baker-Davenport method.
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  • 7Heuberger, C., Pethe, A., Tichy, R.F., Complete solution of parametrized Thue equations, Acta Math. Inform. Univ. Ostraviensis, 1998, 6: 93-113.
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