Geodesic
On the Dirichlet convolution of completely additive functions
Journal of integer sequences, Tome 17 (2014) no. 8.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let $k$ and $l$ be non-negative integers. For two completely additive functions $f$ and $g$, we consider various identities for the Dirichlet convolution of the $k$th powers of $f$ and the $l$th powers of $g$. Furthermore, we derive some asymptotic formulas for sums of convolutions on the natural logarithms.
Classification : 11A25, 11P99
Keywords: completely additive function, Dirichlet convolution 
@article{JIS_2014__17_8_a3,
     author = {Kiuchi, Isao and Minamide, Makoto},
     title = {On the {Dirichlet} convolution of completely additive functions},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {17},
     number = {8},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2014__17_8_a3/}
}
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Kiuchi, Isao; Minamide, Makoto. On the Dirichlet convolution of completely additive functions. Journal of integer sequences, Tome 17 (2014) no. 8. http://geodesic.mathdoc.fr/item/JIS_2014__17_8_a3/