On arithmetic functions of balancing and Lucas-balancing numbers

被引：0

作者：

Dutta, Utkal Keshari ^{[1
]}

Ray, Prasanta Kumar ^{[1
]}

机构：

[1] Sambalpur Univ, Dept Math, Sambalpur 768019, Odisha, India

来源：

MATHEMATICAL COMMUNICATIONS | 2019年 / 24卷 / 01期

关键词：

Euler phi function; divisor function; balancing numbers; Lucas-balancing numbers;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For any integers n >= 1 and k >= 0, let phi(n) and sigma(k)(n) denote the Euler phi function and the sum of the k-th powers of the divisors of n, respectively. In this article, the solutions to some Diophantine equations about these functions of balancing and Lucas-balancing numbers are discussed.

引用

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页码：77 / 81

页数：5

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