| 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. |
| 关键词: Thue方程 含参丢番图方程 有理逼近 |
| DOI： |
| 分类号:O156.7 |
| 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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| A NOTE ON FOUR-PARAMETRIZED QUARTIC THUEEQUATIONS |
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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 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. |
| Key words: Thue equation parametric Diophantine equation rational approximation |
