On arithmetic functions of balancing and Lucas-balancing numbers
Dutta, Utkal Keshari ; Ray, Prasanta Kumar
Mathematical Communications, Tome 23 (2018) no. 2, p. 77-81 / Harvested from Mathematical Communications
Text on Mathematical Communications
For any integers $n\geq1$ and $k\geq0,$ 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.
Publié le : 2018-12-05
Classification:  Eluer phi function; Divisor function; Balancing numbers;Lucas-balancing numbers,  11B 37, 11 B 39, 11 B 83 
@article{mc2676,
     author = {Dutta, Utkal Keshari and Ray, Prasanta Kumar},
     title = {On arithmetic functions of balancing and Lucas-balancing numbers},
     journal = {Mathematical Communications},
     volume = {23},
     number = {2},
     year = {2018},
     pages = { 77-81},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc2676}
}

Dutta, Utkal Keshari; Ray, Prasanta Kumar. On arithmetic functions of balancing and Lucas-balancing numbers. Mathematical Communications, Tome 23 (2018) no. 2, pp.  77-81. http://gdmltest.u-ga.fr/item/mc2676/