Geodesic
On the lcm-sum function
Journal of integer sequences, Tome 17 (2014) no. 1
We consider a generalization of the lcm-sum function, and we give two kinds of asymptotic formulas for the sum of that function. Our results include a generalization of Bordellès's results and a refinement of the error estimate of Alladi's result. We prove these results by the method similar to those of Bordellès.
Classification : 11A25, 11N37
Keywords: arithmetic function, lcm-sum function, least common multiple 
@article{JIS_2014__17_1_a7,
     author = {Ikeda,  Soichi and Matsuoka,  Kaneaki},
     title = {On the lcm-sum function},
     journal = {Journal of integer sequences},
     year = {2014},
     volume = {17},
     number = {1},
     zbl = {1317.11011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2014__17_1_a7/}
}
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Ikeda,  Soichi; Matsuoka,  Kaneaki. On the lcm-sum function. Journal of integer sequences, Tome 17 (2014) no. 1. http://geodesic.mathdoc.fr/item/JIS_2014__17_1_a7/