On the Ramanujan-Nagell type Diophantine equation \(Dx^2+k^n=B\)

IF 0.5 4区数学 Q3 MATHEMATICS

Glasnik Matematicki Pub Date : 2021-12-23 DOI:10.3336/gm.56.2.04

Zhong-Can Zhang, A. Togbé

引用次数: 0

Abstract

In this paper, we prove that the Ramanujan-Nagell type Diophantine equation \(Dx^2+k^n=B\) has at most three nonnegative integer solutions \((x, n)\) for \(k\) a prime and \(B, D\) positive integers.

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关于Ramanujan-Nagell型丢番图方程 \(Dx^2+k^n=B\)

本文证明了对于\(k\) a素数和\(B, D\)正整数，Ramanujan-Nagell型Diophantine方程\(Dx^2+k^n=B\)最多有三个非负整数解\((x, n)\)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Glasnik Matematicki MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Glasnik Matematicki publishes original research papers from all fields of pure and applied mathematics. The journal is published semiannually, in June and in December.