Geodesic
The average order of the Dirichlet series of the gcd-sum function
Journal of integer sequences, Tome 10 (2007) no. 4
Using a result of Bordellès, we derive the second term and improved error expressions for the partial sums of the Dirichlet series of the gcd-sum function, for all real values of the parameter.
Classification : 11A05, 11A25, 11M06, 11N37, 11N56
Keywords: greatest common divisor, Dirichlet series, gcd-sum 
@article{JIS_2007__10_4_a3,
     author = {Broughan,  Kevin A.},
     title = {The average order of the {Dirichlet} series of the gcd-sum function},
     journal = {Journal of integer sequences},
     year = {2007},
     volume = {10},
     number = {4},
     zbl = {1145.11006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_4_a3/}
}
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Broughan,  Kevin A. The average order of the Dirichlet series of the gcd-sum function. Journal of integer sequences, Tome 10 (2007) no. 4. http://geodesic.mathdoc.fr/item/JIS_2007__10_4_a3/