Geodesic
A multidimensional Cesàro type identity and applications
Journal of integer sequences, Tome 18 (2015) no. 3
We generalize a well-known identity due to Cesáro and get some asymptotics on some multivariate gcd-sum functions. Several examples when the functions are completely multiplicative are given.
Keywords: multivariate gcd-sum function, Cesáro's identity 
@article{JIS_2015__18_3_a0,
     author = {Bordell\`es,  Olivier},
     title = {A multidimensional {Ces\`aro} type identity and applications},
     journal = {Journal of integer sequences},
     year = {2015},
     volume = {18},
     number = {3},
     zbl = {1316.11006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_3_a0/}
}
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Bordellès,  Olivier. A multidimensional Cesàro type identity and applications. Journal of integer sequences, Tome 18 (2015) no. 3. http://geodesic.mathdoc.fr/item/JIS_2015__18_3_a0/