Geodesic
On Sums Involving Reciprocals of Certain Large Additive Functions (ii)
Publications de l'Institut Mathématique, _N_S_46 (1989) no. 60, p. 25 .

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Let $\beta(n)=\sum_{p\mid n}p$ and $B(n)=\sum_{p^{\alpha}\parallel n}\alpha p$. Let $p(n)$ denote the largest prime factor of an integer $n\ge2$. In the present paper we sharpen the asymptotic formula for the sum $\sum\limits_{2\le n\le x} B(n)/\beta(n)$ and we derive an asymptotic formula for the sum $\sum\limits_{2\le n\le x}(B(n)-\beta(n))/p(n)$.
Classification : 10H15 10H25 
@article{PIM_1989_N_S_46_60_a4,
     author = {Tizuo Xuan},
     title = {On {Sums} {Involving} {Reciprocals} of {Certain} {Large} {Additive} {Functions} (ii)},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {25 },
     publisher = {mathdoc},
     volume = {_N_S_46},
     number = {60},
     year = {1989},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1989_N_S_46_60_a4/}
}
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Tizuo Xuan. On Sums Involving Reciprocals of Certain Large Additive Functions (ii). Publications de l'Institut Mathématique, _N_S_46 (1989) no. 60, p. 25 . http://geodesic.mathdoc.fr/item/PIM_1989_N_S_46_60_a4/