| 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 Togbé的结果. |
| 关键词: 六次Thue方程 padè逼近 连分数 |
| DOI： |
| 分类号:O156.7 |
| 基金项目:Supported by National Natural Science Foundation of China (61202305) and Fundamental Research funds for the Central Universities(2013PY120). |
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| SOLUTIONS OF PARAMETRIZED SEXTICTHUE EQUATIONS |
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ZHANG Si-lan1,2, XIA Jing-bo1, CHEN Jian-hua2, AI Xiao-chuan2
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1.College of Science, Huazhong Agricultural University, Wuhan 430070, China;2.Institute of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
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| Abstract: |
| 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 Togbé. |
| Key words: sextic Thue equation padè approximations continued fraction |
