| 含四个参数的四次Thue方程 |
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| 引用本文： | 张四兰,夏静波,陈建华,艾小川.含四个参数的四次Thue方程[J].数学杂志,2015,35(3):593-600. |
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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, 湖北 武汉 430070;武汉大学数学与统计学院, 湖北 武汉 430072,华中农业大学理学院, 湖北 武汉 430070,武汉大学数学与统计学院, 湖北 武汉 430072,武汉大学数学与统计学院, 湖北 武汉 430072 |
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| 基金项目： | Supported by doctoral fund of Huazhong Agricultural University (2662015BQ028) and the Fundamental Research Funds for the Central Universities (2662014QC010). |
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| 摘 要： | 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.
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| 关 键 词： | Thue方程 含参丢番图方程 有理逼近 |
| 收稿时间： | 2014/3/18 0:00:00 |
| 修稿时间： | 2014/5/8 0:00:00 |
A NOTE ON FOUR-PARAMETRIZED QUARTIC THUEEQUATIONS |
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| ZHANG Si-lan,XIA Jing-bo,CHEN Jian-hua and AI Xiao-chuan.A NOTE ON FOUR-PARAMETRIZED QUARTIC THUEEQUATIONS[J].Journal of Mathematics,2015,35(3):593-600. |
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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 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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| Keywords: | Thue equation parametric Diophantine equation rational approximation |
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