| 广义Lebesgue-Ramanujan-Nagell方程研究的新进展 |
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| 引用本文： | 乐茂华,胡永忠.广义Lebesgue-Ramanujan-Nagell方程研究的新进展[J].数学进展,2012(4):385-396. |
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| 作者姓名： | 乐茂华 胡永忠 |
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| 作者单位： | 湛江师范学院数学研究所;佛山科学技术学院数学系 |
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| 基金项目： | 国家自然科学基金(No.10771186,No.10971184) |
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| 摘 要： | 广义Lebesgue-Ramanujan-Nagell方程是数论中一类重要的Diophantine方程.本文介绍了此类方程的近期结果和尚未解决的问题.
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| 关 键 词： | 指数Diophantine方程 广义Lebesgue-Ramanujan-Nagell方程 解数 |
New Advances on the Generalized Lebesgue-Ramanujan-Nagell Equation |
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| LE Maohua,HU Yongzhong.New Advances on the Generalized Lebesgue-Ramanujan-Nagell Equation[J].Advances in Mathematics,2012(4):385-396. |
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| Authors: | LE Maohua HU Yongzhong |
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| Institution: | 1.Institute of Mathematics,Zhanjiang Normal College,Zhanjiang,Guangdong,524048,P.R. China;2.Department of Mathematics,Foshan University,Foshan,Guangdong,528000,P.R.China) |
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| Abstract: | The generalized Lebesgue-Ramanujan-Nagell equation is an important type of exponential diophantine equations in number theory.In this paper,the recent results and some unsolved problems of the equation are given. |
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| Keywords: | exponential diophantine equation generalized Lebesgue-Ramanujan-Nagell equation number of solutions |
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