On a Problem of Erdös and Ivić
Publications de l'Institut Mathématique, (N.S.) 43 (1988) no. 57.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Let us usual $\omega(n)$ and $\Omega(n)$ denote the number of distinct prime factors and the number of total prime factors of $n$ respectively. Asymptotic formulas for the sum $\underset{2\leq n\leq x} \to \sum n^{-1/\Omega (n)}$ and the logarithm of the sum $\sum\limits{2\leq n\leq x} n^{-1/\omega(n)}$ are derived. 
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     author = {Xuan Tizuo},
     title = {On a {Problem} of {Erd\"os} and {Ivi\'c}},
     journal = {Publications de l'Institut Math\'ematique},
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     volume = {(N.S.) 43},
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Xuan Tizuo. On a Problem of Erdös and Ivić. Publications de l'Institut Mathématique, (N.S.) 43 (1988) no. 57. https://geodesic-test.mathdoc.fr/item/PIM_1988_N_S_43_57_a1/