On the Diophantine equation (x-1)k + xk + (x+1)k = yn

被引：18

作者：

Zhang, Zhongfeng ^{[1
]}

机构：

[1] Zhaoqing Univ, Sch Math & Stat, Zhaoqing 526061, Peoples R China

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2014年 / 85卷 / 1-2期

关键词：

Diophantine equations; modular form; Thue equations;

D O I：

10.5486/PMD.2014.5815

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the Diophantine equation (x - 1)(k) + x(k) + (x + 1)(k) = y(n), n > 1, and completely solve it for k = 2, 3, 4.

引用

页码：93 / 100

页数：8

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