On the equation φ(Xm-1) = Xn-1

被引：3

作者：

Faye, Bernadette ^{[1
,2
]}

Luca, Florian ^{[2
]}

机构：

[1] Univ Cheikh Anta Diop Dakar, Ecole Doctorale Math & Informat, Dakar, Senegal

[2] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2015年 / 11卷 / 05期

关键词：

Diophantine equations; applications of primitive divisors of Lucas sequences; applications of sieve methods;

D O I：

10.1142/S1793042115400187

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Here, we show that the title equation has only finitely many positive integer solutions (X, m, n), where phi is the Euler function.

引用

页码：1691 / 1700

页数：10

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