Geodesic
A note on the average order of the gcd-sum function
Journal of integer sequences, Tome 10 (2007) no. 3
We prove an asymptotic formula for the average order of the gcd-sum function by using a new convolution identity.
Classification : 11A25, 11N37
Keywords: gcd-sum function, Dirichlet convolution, average order of multiplicative functions 
@article{JIS_2007__10_3_a1,
     author = {Bordell\'es,  Olivier},
     title = {A note on the average order of the gcd-sum function},
     journal = {Journal of integer sequences},
     year = {2007},
     volume = {10},
     number = {3},
     zbl = {1145.11005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_3_a1/}
}
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Bordellés,  Olivier. A note on the average order of the gcd-sum function. Journal of integer sequences, Tome 10 (2007) no. 3. http://geodesic.mathdoc.fr/item/JIS_2007__10_3_a1/