| 六次含参Thue方程的解(英文) |
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| 引用本文： | 张四兰,夏静波,陈建华,艾小川.六次含参Thue方程的解(英文)[J].数学杂志,2014,34(3):478-486. |
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| 作者姓名： | 张四兰 夏静波 陈建华 艾小川 |
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| 作者单位： | 华中农业大学理学院;武汉大学数学与统计学院; |
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| 基金项目： | Supported by National Natural Science Foundation of China(61202305);Fundamental Research funds for the Central Universities(2013PY120) |
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| 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 Togb′e的结果.
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| 关 键 词： | 六次Thue方程 pad`e逼近 连分数 |
| 收稿时间： | 2013/9/23 0:00:00 |
| 修稿时间： | 2013/10/14 0:00:00 |
SOLUTIONS OF PARAMETRIZED SEXTICTHUE EQUATIONS |
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| ZHANG Si-lan,XIA Jing-bo,CHEN Jian-hua and AI Xiao-chuan.SOLUTIONS OF PARAMETRIZED SEXTICTHUE EQUATIONS[J].Journal of Mathematics,2014,34(3):478-486. |
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| Authors: | ZHANG Si-lan XIA Jing-bo CHEN Jian-hua and AI Xiao-chuan |
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| Institution: | College of Science, Huazhong Agricultural University, Wuhan 430070, China;Institute of Mathematics and Statistics, Wuhan University, Wuhan 430072, China,College of Science, Huazhong Agricultural University, Wuhan 430070, China,Institute of Mathematics and Statistics, Wuhan University, Wuhan 430072, China and 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. |
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| Keywords: | sextic Thue equation padè approximations continued fraction |
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