Geodesic
Mean values of generalized gcd-sum and lcm-sum functions
Journal of integer sequences, Tome 10 (2007) no. 9
We consider a generalization of the gcd-sum function, and obtain its average order with a quasi-optimal error term. We also study the reciprocals of the gcd-sum and lcm-sum functions.
Classification : 11A25, 11N37
Keywords: greatest common divisor, average order, Dirichlet convolution 
@article{JIS_2007__10_9_a3,
     author = {Bordell\`es,  Olivier},
     title = {Mean values of generalized gcd-sum and lcm-sum functions},
     journal = {Journal of integer sequences},
     year = {2007},
     volume = {10},
     number = {9},
     zbl = {1174.11303},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_9_a3/}
}
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Bordellès,  Olivier. Mean values of generalized gcd-sum and lcm-sum functions. Journal of integer sequences, Tome 10 (2007) no. 9. http://geodesic.mathdoc.fr/item/JIS_2007__10_9_a3/