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
收藏
页码：1691 / 1700
页数：10
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