PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 43(57), pp. 915 (1988) 

On a problem of Erdös and Ivi\'cXuan TizuoDepartment of Mathematics, Beijing Normal University, 100088 Beijing, ChinaAbstract: 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. Classification (MSC2000): 10H25 Full text of the article:
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