Geodesic
The \(r\)th moment of the divisor function: an elementary approach
Journal of integer sequences, Tome 20 (2017) no. 7
For integer $r \ge 1$ we give an elementary proof for the main term of the asymptotic behavior of the $r$th moment of the number of divisors of $n$ for positive integers $n \le x$.
Classification : 11A35, 11N37
Keywords: number of divisors, Möbius inversion 
@article{JIS_2017__20_7_a5,
     author = {Luca,  Florian and T\'oth,  L\'aszl\'o},
     title = {The \(r\)th moment of the divisor function: an elementary approach},
     journal = {Journal of integer sequences},
     year = {2017},
     volume = {20},
     number = {7},
     zbl = {1366.11103},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_7_a5/}
}
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Luca,  Florian; Tóth,  László. The \(r\)th moment of the divisor function: an elementary approach. Journal of integer sequences, Tome 20 (2017) no. 7. http://geodesic.mathdoc.fr/item/JIS_2017__20_7_a5/