Izvorni znanstveni članak

On arithmetic functions of balancing and Lucas-balancing numbers

Utkal Keshari Dutta ; Department of Mathematics, Sambalpur University, Jyoti Vihar, Sambalpur, Odisha, India
Prasanta Kumar Ray ; Department of Mathematics, Sambalpur University, Jyoti Vihar, Sambalpur, Odisha, India

Sažetak

For any integers $n\ge 1$ and $k\ge 0,$ let $\varphi (n)$ 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.

Ključne riječi

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

Hrčak ID:

215151

URI

https://hrcak.srce.hr/215151

Datum izdavanja:

19.4.2019.

Posjeta: 1.020 *