ON THE RAMANUJAN-NAGELL TYPE DIOPHANTINE EQUATION x2 + Akn = B

被引：1
|
作者：
Zhang, Zhongfeng [1 ]
Togbe, Alain [2 ]
机构：
[1] Zhaoqing Univ, Sch Math & Stat, Zhaoqing 526061, Peoples R China
[2] Purdue Univ Northwest, Dept Math Stat & Comp Sci, 1401 S US 421, Westville, IN 46391 USA
来源：
GLASNIK MATEMATICKI | 2018年 / 53卷 / 01期
关键词：
Diophantine equation; Pell equations; NUMBER;
D O I：
10.3336/gm.53.1.04
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove that the Ramanujan-Nagell type Diophantine equation x(2) + Ak(n) = B has at most three nonnegative integer solutions (x, n) for A = 1, 2, 4, k an odd prime and B a positive integer. Therefore, we partially confirm two conjectures of Ulas from [23].
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页码：43 / 50
页数：8
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