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].

引用

页码：43 / 50

页数：8

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