| 关于一类广义Ramanujan-Nagell方程的正整数解 |
| |
| 引用本文： | 张正萍,赵开明. 关于一类广义Ramanujan-Nagell方程的正整数解[J]. 数学杂志, 2016, 36(5): 1077-1082 |
| |
| 作者姓名： | 张正萍 赵开明 |
| |
| 作者单位： | 重庆科技学院数理学院, 重庆 401331,重庆求精中学, 重庆 400015 |
| |
| 基金项目： | 重庆市自然科学基金项目(cstc2013jcyjA10049);重庆科技学院本科教育教学改革研究项目(201249). |
| |
| 摘 要： | 本文研究了一类广义Ramanujan-Nagell方程有正整数解的条件.利用二次域中的重要理论,给出了一个典型的Ramanujan-Nagell方程的所有正整数解,推广了文献[1]和[2]的结果.
|
| 关 键 词： | 广义Ramanujan-Nagell方程 正整数解 二次域 |
| 收稿时间： | 2014-10-08 |
| 修稿时间： | 2014-12-24 |
ON THE POSITIVE INTEGER SOLUTIONS OF A CLASS OF GENERALIZED RAMANUJAN-NAGELL EQUATION |
| |
| ZHANG Zheng-ping and ZHAO Kai-ming. ON THE POSITIVE INTEGER SOLUTIONS OF A CLASS OF GENERALIZED RAMANUJAN-NAGELL EQUATION[J]. Journal of Mathematics, 2016, 36(5): 1077-1082 |
| |
| Authors: | ZHANG Zheng-ping and ZHAO Kai-ming |
| |
| Affiliation: | School of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing 401331, China and Chongqing Refinement School, Chongqing 400015, China |
| |
| Abstract: | In this paper, we studied the necessary condition for existence of the positive integer solutions of a class of generalized Ramanujan-Nagell equation. On the base of it, we gave all the positive integer solutions of a typical Ramanujan-Nagell equations, and generalized some results of reference [1] and [2]. |
| |
| Keywords: | generalized Ramanujan-Nagell equation positive integer solution quadratic fields |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学杂志》浏览原始摘要信息 |
|
点击此处可从《数学杂志》下载免费的PDF全文 |
