| 关于广义Ramanujan-Nagell方程的一个猜想 |
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| 引用本文： | 陈候炎.关于广义Ramanujan-Nagell方程的一个猜想[J].数学杂志,2010,30(3). |
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| 作者姓名： | 陈候炎 |
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| 作者单位： | 湛江师范学院基础教育学院,广东,湛江,524300 |
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| 基金项目： | 国家自然科学基金，广东省自然科学基金 |
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| 摘 要： | 本文研究广义Ramanujan-Nagell方程的正整数解.利用初等数论方法,证实了杨仕椿关于广义Ramanujan-Nagell方程的一个猜想.
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| 关 键 词： | 丢番图方程 广义Ramanujan-Nagell方程 解数 猜想 |
A CONJECTURE CONCERNING THE GENERALIZED RAMANUJAN-NAGELL EQUATION |
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| CHEN Hou-yan.A CONJECTURE CONCERNING THE GENERALIZED RAMANUJAN-NAGELL EQUATION[J].Journal of Mathematics,2010,30(3). |
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| Authors: | CHEN Hou-yan |
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| Institution: | CHEN Hou-yan (Basic Education College,Zhanjiang Normal University,Zhanjiang 524300,China) |
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| Abstract: | In this article,the solvability of the generalized Ramanujan-Nagell equation is researched.By using elementary number theory.It is proved that a conjecture concerning the generalized Ramanujan-Nagell equation proposed by Yang Shi-chun is affirmative. |
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| Keywords: | diophantine equation generalized Ramanujan-Nagell equation number of solutions conjecture |
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